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Finding the Fourth Proportional to 2,491.13, 3,737 and 1,031.31

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Solution

The fourth proportional to 2,491.13, 3,737 and 1,031.31 is: 1,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.13 : 3,737 = 1,031.31 : x
  2. Step 2: Convert to fraction form
    2,491.13/3,737 = 1,031.31/x
  3. Step 3: Cross multiply
    2,491.13x = 3,737 × 1,031.31
  4. Step 4: Simplify right side
    2,491.13x = 3,854,005.47
  5. Step 5: Solve for x
    x = 3,854,005.47/2,491.13
  6. Step 6: Final answer
    x = 1,547.09

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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.