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Finding the Fourth Proportional to 2,472.81, 3,710.63 and 1,011.97

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Solution

The fourth proportional to 2,472.81, 3,710.63 and 1,011.97 is: 1,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.81 : 3,710.63 = 1,011.97 : x
  2. Step 2: Convert to fraction form
    2,472.81/3,710.63 = 1,011.97/x
  3. Step 3: Cross multiply
    2,472.81x = 3,710.63 × 1,011.97
  4. Step 4: Simplify right side
    2,472.81x = 3,755,046.24
  5. Step 5: Solve for x
    x = 3,755,046.24/2,472.81
  6. Step 6: Final answer
    x = 1,518.53

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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.