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Finding the Fourth Proportional to 3,241.75, 4,862.17 and 1,161.47

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Solution

The fourth proportional to 3,241.75, 4,862.17 and 1,161.47 is: 1,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.75 : 4,862.17 = 1,161.47 : x
  2. Step 2: Convert to fraction form
    3,241.75/4,862.17 = 1,161.47/x
  3. Step 3: Cross multiply
    3,241.75x = 4,862.17 × 1,161.47
  4. Step 4: Simplify right side
    3,241.75x = 5,647,264.59
  5. Step 5: Solve for x
    x = 5,647,264.59/3,241.75
  6. Step 6: Final answer
    x = 1,742.04

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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.