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Finding the Fourth Proportional to 3,067.82, 4,230.87 and 2,006.18

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Solution

The fourth proportional to 3,067.82, 4,230.87 and 2,006.18 is: 2,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.82 : 4,230.87 = 2,006.18 : x
  2. Step 2: Convert to fraction form
    3,067.82/4,230.87 = 2,006.18/x
  3. Step 3: Cross multiply
    3,067.82x = 4,230.87 × 2,006.18
  4. Step 4: Simplify right side
    3,067.82x = 8,487,886.78
  5. Step 5: Solve for x
    x = 8,487,886.78/3,067.82
  6. Step 6: Final answer
    x = 2,766.75

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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.