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Finding the Fourth Proportional to 2,593.34, 3,578.74 and 1,414.41

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Solution

The fourth proportional to 2,593.34, 3,578.74 and 1,414.41 is: 1,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.34 : 3,578.74 = 1,414.41 : x
  2. Step 2: Convert to fraction form
    2,593.34/3,578.74 = 1,414.41/x
  3. Step 3: Cross multiply
    2,593.34x = 3,578.74 × 1,414.41
  4. Step 4: Simplify right side
    2,593.34x = 5,061,805.64
  5. Step 5: Solve for x
    x = 5,061,805.64/2,593.34
  6. Step 6: Final answer
    x = 1,951.85

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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.