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Finding the Fourth Proportional to 3,241.80, 4,863 and 1,951.47

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Solution

The fourth proportional to 3,241.80, 4,863 and 1,951.47 is: 2,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.80 : 4,863 = 1,951.47 : x
  2. Step 2: Convert to fraction form
    3,241.80/4,863 = 1,951.47/x
  3. Step 3: Cross multiply
    3,241.80x = 4,863 × 1,951.47
  4. Step 4: Simplify right side
    3,241.80x = 9,489,998.61
  5. Step 5: Solve for x
    x = 9,489,998.61/3,241.80
  6. Step 6: Final answer
    x = 2,927.39

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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.