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Finding the Fourth Proportional to 2,511.27, 3,767.31 and 868.05

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Solution

The fourth proportional to 2,511.27, 3,767.31 and 868.05 is: 1,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.27 : 3,767.31 = 868.05 : x
  2. Step 2: Convert to fraction form
    2,511.27/3,767.31 = 868.05/x
  3. Step 3: Cross multiply
    2,511.27x = 3,767.31 × 868.05
  4. Step 4: Simplify right side
    2,511.27x = 3,270,213.45
  5. Step 5: Solve for x
    x = 3,270,213.45/2,511.27
  6. Step 6: Final answer
    x = 1,302.21

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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.