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Finding the Fourth Proportional to 2,511.27, 3,767.40 and 867.89

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Solution

The fourth proportional to 2,511.27, 3,767.40 and 867.89 is: 1,302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.27 : 3,767.40 = 867.89 : x
  2. Step 2: Convert to fraction form
    2,511.27/3,767.40 = 867.89/x
  3. Step 3: Cross multiply
    2,511.27x = 3,767.40 × 867.89
  4. Step 4: Simplify right side
    2,511.27x = 3,269,669.95
  5. Step 5: Solve for x
    x = 3,269,669.95/2,511.27
  6. Step 6: Final answer
    x = 1,302.00

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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.