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Finding the Fourth Proportional to 3,067.92, 4,600.67 and 1,608.30

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Solution

The fourth proportional to 3,067.92, 4,600.67 and 1,608.30 is: 2,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.92 : 4,600.67 = 1,608.30 : x
  2. Step 2: Convert to fraction form
    3,067.92/4,600.67 = 1,608.30/x
  3. Step 3: Cross multiply
    3,067.92x = 4,600.67 × 1,608.30
  4. Step 4: Simplify right side
    3,067.92x = 7,399,249.52
  5. Step 5: Solve for x
    x = 7,399,249.52/3,067.92
  6. Step 6: Final answer
    x = 2,411.81

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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.