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Finding the Fourth Proportional to 2,593.76, 3,891.36 and 862.52

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Solution

The fourth proportional to 2,593.76, 3,891.36 and 862.52 is: 1,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.76 : 3,891.36 = 862.52 : x
  2. Step 2: Convert to fraction form
    2,593.76/3,891.36 = 862.52/x
  3. Step 3: Cross multiply
    2,593.76x = 3,891.36 × 862.52
  4. Step 4: Simplify right side
    2,593.76x = 3,356,375.83
  5. Step 5: Solve for x
    x = 3,356,375.83/2,593.76
  6. Step 6: Final answer
    x = 1,294.02

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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.