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Finding the Fourth Proportional to 2,372.92, 3,560.64 and 1,591

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Solution

The fourth proportional to 2,372.92, 3,560.64 and 1,591 is: 2,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.92 : 3,560.64 = 1,591 : x
  2. Step 2: Convert to fraction form
    2,372.92/3,560.64 = 1,591/x
  3. Step 3: Cross multiply
    2,372.92x = 3,560.64 × 1,591
  4. Step 4: Simplify right side
    2,372.92x = 5,664,978.24
  5. Step 5: Solve for x
    x = 5,664,978.24/2,372.92
  6. Step 6: Final answer
    x = 2,387.34

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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.