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Finding the Fourth Proportional to 2,679.20, 4,017.36 and 829.52

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Solution

The fourth proportional to 2,679.20, 4,017.36 and 829.52 is: 1,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.20 : 4,017.36 = 829.52 : x
  2. Step 2: Convert to fraction form
    2,679.20/4,017.36 = 829.52/x
  3. Step 3: Cross multiply
    2,679.20x = 4,017.36 × 829.52
  4. Step 4: Simplify right side
    2,679.20x = 3,332,480.47
  5. Step 5: Solve for x
    x = 3,332,480.47/2,679.20
  6. Step 6: Final answer
    x = 1,243.83

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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.