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Finding the Fourth Proportional to 2,744.70, 4,114.92 and 1,427.88

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Solution

The fourth proportional to 2,744.70, 4,114.92 and 1,427.88 is: 2,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.70 : 4,114.92 = 1,427.88 : x
  2. Step 2: Convert to fraction form
    2,744.70/4,114.92 = 1,427.88/x
  3. Step 3: Cross multiply
    2,744.70x = 4,114.92 × 1,427.88
  4. Step 4: Simplify right side
    2,744.70x = 5,875,611.97
  5. Step 5: Solve for x
    x = 5,875,611.97/2,744.70
  6. Step 6: Final answer
    x = 2,140.71

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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.