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Finding the Fourth Proportional to 2,593.43, 3,578.93 and 1,414.50

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Solution

The fourth proportional to 2,593.43, 3,578.93 and 1,414.50 is: 1,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.43 : 3,578.93 = 1,414.50 : x
  2. Step 2: Convert to fraction form
    2,593.43/3,578.93 = 1,414.50/x
  3. Step 3: Cross multiply
    2,593.43x = 3,578.93 × 1,414.50
  4. Step 4: Simplify right side
    2,593.43x = 5,062,396.49
  5. Step 5: Solve for x
    x = 5,062,396.49/2,593.43
  6. Step 6: Final answer
    x = 1,952.01

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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.