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Finding the Fourth Proportional to 3,067.88, 4,234.41 and 1,742.31

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Solution

The fourth proportional to 3,067.88, 4,234.41 and 1,742.31 is: 2,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.88 : 4,234.41 = 1,742.31 : x
  2. Step 2: Convert to fraction form
    3,067.88/4,234.41 = 1,742.31/x
  3. Step 3: Cross multiply
    3,067.88x = 4,234.41 × 1,742.31
  4. Step 4: Simplify right side
    3,067.88x = 7,377,654.89
  5. Step 5: Solve for x
    x = 7,377,654.89/3,067.88
  6. Step 6: Final answer
    x = 2,404.81

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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.