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Finding the Fourth Proportional to 2,753.71, 4,133.31 and 2,144.09

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Solution

The fourth proportional to 2,753.71, 4,133.31 and 2,144.09 is: 3,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.71 : 4,133.31 = 2,144.09 : x
  2. Step 2: Convert to fraction form
    2,753.71/4,133.31 = 2,144.09/x
  3. Step 3: Cross multiply
    2,753.71x = 4,133.31 × 2,144.09
  4. Step 4: Simplify right side
    2,753.71x = 8,862,170.26
  5. Step 5: Solve for x
    x = 8,862,170.26/2,753.71
  6. Step 6: Final answer
    x = 3,218.26

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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.