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Finding the Fourth Proportional to 2,461.87, 3,691.87 and 1,000.53

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Solution

The fourth proportional to 2,461.87, 3,691.87 and 1,000.53 is: 1,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.87 : 3,691.87 = 1,000.53 : x
  2. Step 2: Convert to fraction form
    2,461.87/3,691.87 = 1,000.53/x
  3. Step 3: Cross multiply
    2,461.87x = 3,691.87 × 1,000.53
  4. Step 4: Simplify right side
    2,461.87x = 3,693,826.69
  5. Step 5: Solve for x
    x = 3,693,826.69/2,461.87
  6. Step 6: Final answer
    x = 1,500.42

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Why These Related Problems?

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