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Finding the Fourth Proportional to 1,665.24, 2,498.17 and 691.42

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Solution

The fourth proportional to 1,665.24, 2,498.17 and 691.42 is: 1,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.24 : 2,498.17 = 691.42 : x
  2. Step 2: Convert to fraction form
    1,665.24/2,498.17 = 691.42/x
  3. Step 3: Cross multiply
    1,665.24x = 2,498.17 × 691.42
  4. Step 4: Simplify right side
    1,665.24x = 1,727,276.73
  5. Step 5: Solve for x
    x = 1,727,276.73/1,665.24
  6. Step 6: Final answer
    x = 1,037.25

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