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Finding the Fourth Proportional to 2,480.52, 3,721.32 and 749.16

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Solution

The fourth proportional to 2,480.52, 3,721.32 and 749.16 is: 1,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.52 : 3,721.32 = 749.16 : x
  2. Step 2: Convert to fraction form
    2,480.52/3,721.32 = 749.16/x
  3. Step 3: Cross multiply
    2,480.52x = 3,721.32 × 749.16
  4. Step 4: Simplify right side
    2,480.52x = 2,787,864.09
  5. Step 5: Solve for x
    x = 2,787,864.09/2,480.52
  6. Step 6: Final answer
    x = 1,123.90

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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.