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Finding the Fourth Proportional to 2,591.74, 3,885.08 and 1,031.24

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Solution

The fourth proportional to 2,591.74, 3,885.08 and 1,031.24 is: 1,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.74 : 3,885.08 = 1,031.24 : x
  2. Step 2: Convert to fraction form
    2,591.74/3,885.08 = 1,031.24/x
  3. Step 3: Cross multiply
    2,591.74x = 3,885.08 × 1,031.24
  4. Step 4: Simplify right side
    2,591.74x = 4,006,449.90
  5. Step 5: Solve for x
    x = 4,006,449.90/2,591.74
  6. Step 6: Final answer
    x = 1,545.85

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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.