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Finding the Fourth Proportional to 2,577.40, 3,866.26 and 728.58

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Solution

The fourth proportional to 2,577.40, 3,866.26 and 728.58 is: 1,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.40 : 3,866.26 = 728.58 : x
  2. Step 2: Convert to fraction form
    2,577.40/3,866.26 = 728.58/x
  3. Step 3: Cross multiply
    2,577.40x = 3,866.26 × 728.58
  4. Step 4: Simplify right side
    2,577.40x = 2,816,879.71
  5. Step 5: Solve for x
    x = 2,816,879.71/2,577.40
  6. Step 6: Final answer
    x = 1,092.92

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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.