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Finding the Fourth Proportional to 3,073.68, 4,241.70 and 1,747.31

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Solution

The fourth proportional to 3,073.68, 4,241.70 and 1,747.31 is: 2,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.68 : 4,241.70 = 1,747.31 : x
  2. Step 2: Convert to fraction form
    3,073.68/4,241.70 = 1,747.31/x
  3. Step 3: Cross multiply
    3,073.68x = 4,241.70 × 1,747.31
  4. Step 4: Simplify right side
    3,073.68x = 7,411,543.62
  5. Step 5: Solve for x
    x = 7,411,543.62/3,073.68
  6. Step 6: Final answer
    x = 2,411.29

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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.