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Finding the Fourth Proportional to 6,160.80, 9,241.88 and 2,265.20

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Solution

The fourth proportional to 6,160.80, 9,241.88 and 2,265.20 is: 3,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.80 : 9,241.88 = 2,265.20 : x
  2. Step 2: Convert to fraction form
    6,160.80/9,241.88 = 2,265.20/x
  3. Step 3: Cross multiply
    6,160.80x = 9,241.88 × 2,265.20
  4. Step 4: Simplify right side
    6,160.80x = 20,934,706.58
  5. Step 5: Solve for x
    x = 20,934,706.58/6,160.80
  6. Step 6: Final answer
    x = 3,398.05

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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.