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Finding the Fourth Proportional to 3,067.86, 4,232.42 and 2,005.28

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Solution

The fourth proportional to 3,067.86, 4,232.42 and 2,005.28 is: 2,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.86 : 4,232.42 = 2,005.28 : x
  2. Step 2: Convert to fraction form
    3,067.86/4,232.42 = 2,005.28/x
  3. Step 3: Cross multiply
    3,067.86x = 4,232.42 × 2,005.28
  4. Step 4: Simplify right side
    3,067.86x = 8,487,187.18
  5. Step 5: Solve for x
    x = 8,487,187.18/3,067.86
  6. Step 6: Final answer
    x = 2,766.48

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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.