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Finding the Fourth Proportional to 2,593.19, 3,578.60 and 1,414.25

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Solution

The fourth proportional to 2,593.19, 3,578.60 and 1,414.25 is: 1,951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.19 : 3,578.60 = 1,414.25 : x
  2. Step 2: Convert to fraction form
    2,593.19/3,578.60 = 1,414.25/x
  3. Step 3: Cross multiply
    2,593.19x = 3,578.60 × 1,414.25
  4. Step 4: Simplify right side
    2,593.19x = 5,061,010.09
  5. Step 5: Solve for x
    x = 5,061,010.09/2,593.19
  6. Step 6: Final answer
    x = 1,951.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.