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Finding the Fourth Proportional to 1,691.76, 2,535.04 and 868.88

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Solution

The fourth proportional to 1,691.76, 2,535.04 and 868.88 is: 1,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.76 : 2,535.04 = 868.88 : x
  2. Step 2: Convert to fraction form
    1,691.76/2,535.04 = 868.88/x
  3. Step 3: Cross multiply
    1,691.76x = 2,535.04 × 868.88
  4. Step 4: Simplify right side
    1,691.76x = 2,202,645.56
  5. Step 5: Solve for x
    x = 2,202,645.56/1,691.76
  6. Step 6: Final answer
    x = 1,301.98

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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.