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Finding the Fourth Proportional to 2,517.53, 3,777.17 and 1,346.27

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Solution

The fourth proportional to 2,517.53, 3,777.17 and 1,346.27 is: 2,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.53 : 3,777.17 = 1,346.27 : x
  2. Step 2: Convert to fraction form
    2,517.53/3,777.17 = 1,346.27/x
  3. Step 3: Cross multiply
    2,517.53x = 3,777.17 × 1,346.27
  4. Step 4: Simplify right side
    2,517.53x = 5,085,065.04
  5. Step 5: Solve for x
    x = 5,085,065.04/2,517.53
  6. Step 6: Final answer
    x = 2,019.87

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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.