If a : b = 2 : 3 b : c = 4 : 3 and c : d = 2 : 3, then find
a : b : c : d.

2 thoughts on “If a : b = 2 : 3 b : c = 4 : 3 and c : d = 2 : 3, then find<br /> a : b : c : d.”

1. Answer:

   2:1:1:1

   Step-by-step explanation:

   a : b : c : d

   2 : 3 : 3 : 3

   4 : 4 : 3 : 3

   2 : 2 : 2 : 3

   _________

   16:24:27:27

   16:8 : 9 : 9

   2 : 1 : 9 : 9

   2 : 1 : 1 : 1

   .

   . . The ans is 2:1:1:1 .

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2. Answer: 16:24:18:27

   Step-by-step explanation:

   A:B = 2 : 3
   

   
   

   B:C = 4 : 3
   

   
   

   C:D = 2 : 3
   

   
   

   A is the product of all terms appearing under column (1).
   

   
   

   A = 2 x 4 x 2 = 16
   

   
   

   B is the product of all terms under column (1) beginning from second row and term under column (2) for all previous rows.
   

   
   

   B = 4 x 2 x 3 = 24
   

   
   

   C is the product of all terms under column (1) beginning from third row and terms under column (2) for all previous rows.
   

   
   

   C = 2 x 3 x 3 = 18
   

   
   

   D is the product of all terms appearing under column (2).
   

   
   

   D = 3 x 3 x 3 = 27
   

   
   

   => A:B:C:D = 16:24:18:27

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