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Finding the Fourth Proportional to 2,980.57, 4,469.42 and 1,248.73

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Solution

The fourth proportional to 2,980.57, 4,469.42 and 1,248.73 is: 1,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.57 : 4,469.42 = 1,248.73 : x
  2. Step 2: Convert to fraction form
    2,980.57/4,469.42 = 1,248.73/x
  3. Step 3: Cross multiply
    2,980.57x = 4,469.42 × 1,248.73
  4. Step 4: Simplify right side
    2,980.57x = 5,581,092.59
  5. Step 5: Solve for x
    x = 5,581,092.59/2,980.57
  6. Step 6: Final answer
    x = 1,872.49

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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.