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Finding the Fourth Proportional to 2,577.27, 3,865.57 and 728.20

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Solution

The fourth proportional to 2,577.27, 3,865.57 and 728.20 is: 1,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.27 : 3,865.57 = 728.20 : x
  2. Step 2: Convert to fraction form
    2,577.27/3,865.57 = 728.20/x
  3. Step 3: Cross multiply
    2,577.27x = 3,865.57 × 728.20
  4. Step 4: Simplify right side
    2,577.27x = 2,814,908.07
  5. Step 5: Solve for x
    x = 2,814,908.07/2,577.27
  6. Step 6: Final answer
    x = 1,092.21

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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.