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Finding the Fourth Proportional to 2,517.76, 3,474.43 and 1,469.75

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Solution

The fourth proportional to 2,517.76, 3,474.43 and 1,469.75 is: 2,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.76 : 3,474.43 = 1,469.75 : x
  2. Step 2: Convert to fraction form
    2,517.76/3,474.43 = 1,469.75/x
  3. Step 3: Cross multiply
    2,517.76x = 3,474.43 × 1,469.75
  4. Step 4: Simplify right side
    2,517.76x = 5,106,543.49
  5. Step 5: Solve for x
    x = 5,106,543.49/2,517.76
  6. Step 6: Final answer
    x = 2,028.21

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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.