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Finding the Fourth Proportional to 2,342.86, 3,517.38 and 2,149.44

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Solution

The fourth proportional to 2,342.86, 3,517.38 and 2,149.44 is: 3,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.86 : 3,517.38 = 2,149.44 : x
  2. Step 2: Convert to fraction form
    2,342.86/3,517.38 = 2,149.44/x
  3. Step 3: Cross multiply
    2,342.86x = 3,517.38 × 2,149.44
  4. Step 4: Simplify right side
    2,342.86x = 7,560,386.52
  5. Step 5: Solve for x
    x = 7,560,386.52/2,342.86
  6. Step 6: Final answer
    x = 3,227.00

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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.