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Finding the Fourth Proportional to 2,691.60, 3,714.84 and 2,515.92

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Solution

The fourth proportional to 2,691.60, 3,714.84 and 2,515.92 is: 3,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.60 : 3,714.84 = 2,515.92 : x
  2. Step 2: Convert to fraction form
    2,691.60/3,714.84 = 2,515.92/x
  3. Step 3: Cross multiply
    2,691.60x = 3,714.84 × 2,515.92
  4. Step 4: Simplify right side
    2,691.60x = 9,346,240.25
  5. Step 5: Solve for x
    x = 9,346,240.25/2,691.60
  6. Step 6: Final answer
    x = 3,472.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.