fourth proportion of x,2x,(x+1)is
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Concept-
Suppose a : b :: c : d , then a : b = c : d, then 'd' is called as the fourth proportion of a, b and c.
Given-
a, b and c are given as x , 2x , ( x + 1 )
Find-
Calculate the fourth proportion of x , 2x and ( x + 1 )
Solution-
Suppose that the fourth proportion is 'a'.
x : 2x :: ( x + 1 ) : a
x . a = 2x ( x + 1 )
ax = 2x ( x + 1 )
ax = 2x² + 2x
a = 2x² + 2x / x
a = 2x + 2
Fourth proportion = 2x + 2
Therefore, the fourth proportion is 2x + 2.
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