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Finding the Fourth Proportional to 2,871.72, 3,966.87 and 2,250.11

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Solution

The fourth proportional to 2,871.72, 3,966.87 and 2,250.11 is: 3,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.72 : 3,966.87 = 2,250.11 : x
  2. Step 2: Convert to fraction form
    2,871.72/3,966.87 = 2,250.11/x
  3. Step 3: Cross multiply
    2,871.72x = 3,966.87 × 2,250.11
  4. Step 4: Simplify right side
    2,871.72x = 8,925,912.21
  5. Step 5: Solve for x
    x = 8,925,912.21/2,871.72
  6. Step 6: Final answer
    x = 3,108.21

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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.