If a : b = 2 : 3, b : c = 4 : 5, c : d= 5 : 3 then find a : b : c : d

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8 : 4 : 5 : 9

8 : 14 : 15 : 3

8 : 12 : 15 : 9

8 : 4 : 5 : 3

answer is C.

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Detailed Solution

$\begin{array}{l} \begin{matrix} a & : & b \\ b & : & c \\ c & : & d \\ a b c & : & b b c & : & b c c & : & b c d \end{matrix} \\ \begin{matrix} 2 & : & 3 \\ 4 & : & 5 \\ 5 & : & 3 \\ 40 & : & 60 & : & 75 & : & 45 \\ 8 & : & 12 & : & 15 & : & 9 \end{matrix} \end{array}$

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