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Finding the Fourth Proportional to 2,593.29, 3,889.13 and 743.91

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Solution

The fourth proportional to 2,593.29, 3,889.13 and 743.91 is: 1,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.29 : 3,889.13 = 743.91 : x
  2. Step 2: Convert to fraction form
    2,593.29/3,889.13 = 743.91/x
  3. Step 3: Cross multiply
    2,593.29x = 3,889.13 × 743.91
  4. Step 4: Simplify right side
    2,593.29x = 2,893,139.53
  5. Step 5: Solve for x
    x = 2,893,139.53/2,593.29
  6. Step 6: Final answer
    x = 1,115.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.