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Finding the Fourth Proportional to 2,240.82, 3,354.30 and 2,049.46

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Solution

The fourth proportional to 2,240.82, 3,354.30 and 2,049.46 is: 3,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.82 : 3,354.30 = 2,049.46 : x
  2. Step 2: Convert to fraction form
    2,240.82/3,354.30 = 2,049.46/x
  3. Step 3: Cross multiply
    2,240.82x = 3,354.30 × 2,049.46
  4. Step 4: Simplify right side
    2,240.82x = 6,874,495.29
  5. Step 5: Solve for x
    x = 6,874,495.29/2,240.82
  6. Step 6: Final answer
    x = 3,067.85

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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.