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Finding the Fourth Proportional to 2,447.82, 3,377.17 and 1,385.44

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Solution

The fourth proportional to 2,447.82, 3,377.17 and 1,385.44 is: 1,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.82 : 3,377.17 = 1,385.44 : x
  2. Step 2: Convert to fraction form
    2,447.82/3,377.17 = 1,385.44/x
  3. Step 3: Cross multiply
    2,447.82x = 3,377.17 × 1,385.44
  4. Step 4: Simplify right side
    2,447.82x = 4,678,842.59
  5. Step 5: Solve for x
    x = 4,678,842.59/2,447.82
  6. Step 6: Final answer
    x = 1,911.44

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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.