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Finding the Fourth Proportional to 2,577.52, 3,866.07 and 728.56

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Solution

The fourth proportional to 2,577.52, 3,866.07 and 728.56 is: 1,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.52 : 3,866.07 = 728.56 : x
  2. Step 2: Convert to fraction form
    2,577.52/3,866.07 = 728.56/x
  3. Step 3: Cross multiply
    2,577.52x = 3,866.07 × 728.56
  4. Step 4: Simplify right side
    2,577.52x = 2,816,663.96
  5. Step 5: Solve for x
    x = 2,816,663.96/2,577.52
  6. Step 6: Final answer
    x = 1,092.78

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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.