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Finding the Fourth Proportional to 2,577.76, 3,866.24 and 728.68

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Solution

The fourth proportional to 2,577.76, 3,866.24 and 728.68 is: 1,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.76 : 3,866.24 = 728.68 : x
  2. Step 2: Convert to fraction form
    2,577.76/3,866.24 = 728.68/x
  3. Step 3: Cross multiply
    2,577.76x = 3,866.24 × 728.68
  4. Step 4: Simplify right side
    2,577.76x = 2,817,251.76
  5. Step 5: Solve for x
    x = 2,817,251.76/2,577.76
  6. Step 6: Final answer
    x = 1,092.91

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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.