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Finding the Fourth Proportional to 2,239.97, 3,344.86 and 1,829.92

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Solution

The fourth proportional to 2,239.97, 3,344.86 and 1,829.92 is: 2,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.97 : 3,344.86 = 1,829.92 : x
  2. Step 2: Convert to fraction form
    2,239.97/3,344.86 = 1,829.92/x
  3. Step 3: Cross multiply
    2,239.97x = 3,344.86 × 1,829.92
  4. Step 4: Simplify right side
    2,239.97x = 6,120,826.21
  5. Step 5: Solve for x
    x = 6,120,826.21/2,239.97
  6. Step 6: Final answer
    x = 2,732.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.