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Finding the Fourth Proportional to 2,517.01, 3,770.60 and 1,648.69

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Solution

The fourth proportional to 2,517.01, 3,770.60 and 1,648.69 is: 2,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.01 : 3,770.60 = 1,648.69 : x
  2. Step 2: Convert to fraction form
    2,517.01/3,770.60 = 1,648.69/x
  3. Step 3: Cross multiply
    2,517.01x = 3,770.60 × 1,648.69
  4. Step 4: Simplify right side
    2,517.01x = 6,216,545.21
  5. Step 5: Solve for x
    x = 6,216,545.21/2,517.01
  6. Step 6: Final answer
    x = 2,469.82

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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.