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Finding the Fourth Proportional to 3,067.28, 4,229.64 and 2,018

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Solution

The fourth proportional to 3,067.28, 4,229.64 and 2,018 is: 2,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.28 : 4,229.64 = 2,018 : x
  2. Step 2: Convert to fraction form
    3,067.28/4,229.64 = 2,018/x
  3. Step 3: Cross multiply
    3,067.28x = 4,229.64 × 2,018
  4. Step 4: Simplify right side
    3,067.28x = 8,535,413.52
  5. Step 5: Solve for x
    x = 8,535,413.52/3,067.28
  6. Step 6: Final answer
    x = 2,782.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.