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Finding the Fourth Proportional to 2,502.97, 3,754.68 and 747.94

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Solution

The fourth proportional to 2,502.97, 3,754.68 and 747.94 is: 1,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.97 : 3,754.68 = 747.94 : x
  2. Step 2: Convert to fraction form
    2,502.97/3,754.68 = 747.94/x
  3. Step 3: Cross multiply
    2,502.97x = 3,754.68 × 747.94
  4. Step 4: Simplify right side
    2,502.97x = 2,808,275.36
  5. Step 5: Solve for x
    x = 2,808,275.36/2,502.97
  6. Step 6: Final answer
    x = 1,121.98

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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.