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Finding the Fourth Proportional to 2,480.69, 3,721.13 and 749.31

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Solution

The fourth proportional to 2,480.69, 3,721.13 and 749.31 is: 1,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.69 : 3,721.13 = 749.31 : x
  2. Step 2: Convert to fraction form
    2,480.69/3,721.13 = 749.31/x
  3. Step 3: Cross multiply
    2,480.69x = 3,721.13 × 749.31
  4. Step 4: Simplify right side
    2,480.69x = 2,788,279.92
  5. Step 5: Solve for x
    x = 2,788,279.92/2,480.69
  6. Step 6: Final answer
    x = 1,123.99

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