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Finding the Fourth Proportional to 2,472.52, 3,708.78 and 1,011.41

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Solution

The fourth proportional to 2,472.52, 3,708.78 and 1,011.41 is: 1,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.52 : 3,708.78 = 1,011.41 : x
  2. Step 2: Convert to fraction form
    2,472.52/3,708.78 = 1,011.41/x
  3. Step 3: Cross multiply
    2,472.52x = 3,708.78 × 1,011.41
  4. Step 4: Simplify right side
    2,472.52x = 3,751,097.18
  5. Step 5: Solve for x
    x = 3,751,097.18/2,472.52
  6. Step 6: Final answer
    x = 1,517.12

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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.