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Finding the Fourth Proportional to 2,578.13, 3,866.04 and 728.81

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Solution

The fourth proportional to 2,578.13, 3,866.04 and 728.81 is: 1,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.13 : 3,866.04 = 728.81 : x
  2. Step 2: Convert to fraction form
    2,578.13/3,866.04 = 728.81/x
  3. Step 3: Cross multiply
    2,578.13x = 3,866.04 × 728.81
  4. Step 4: Simplify right side
    2,578.13x = 2,817,604.97
  5. Step 5: Solve for x
    x = 2,817,604.97/2,578.13
  6. Step 6: Final answer
    x = 1,092.89

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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.