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Finding the Fourth Proportional to 2,577.85, 3,866.35 and 728.54

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Solution

The fourth proportional to 2,577.85, 3,866.35 and 728.54 is: 1,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.85 : 3,866.35 = 728.54 : x
  2. Step 2: Convert to fraction form
    2,577.85/3,866.35 = 728.54/x
  3. Step 3: Cross multiply
    2,577.85x = 3,866.35 × 728.54
  4. Step 4: Simplify right side
    2,577.85x = 2,816,796.65
  5. Step 5: Solve for x
    x = 2,816,796.65/2,577.85
  6. Step 6: Final answer
    x = 1,092.69

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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.