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Finding the Fourth Proportional to 2,491.91, 3,737.87 and 760.52

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Solution

The fourth proportional to 2,491.91, 3,737.87 and 760.52 is: 1,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.91 : 3,737.87 = 760.52 : x
  2. Step 2: Convert to fraction form
    2,491.91/3,737.87 = 760.52/x
  3. Step 3: Cross multiply
    2,491.91x = 3,737.87 × 760.52
  4. Step 4: Simplify right side
    2,491.91x = 2,842,724.89
  5. Step 5: Solve for x
    x = 2,842,724.89/2,491.91
  6. Step 6: Final answer
    x = 1,140.78

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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.