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Finding the Fourth Proportional to 2,511.29, 3,768.65 and 867.82

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Solution

The fourth proportional to 2,511.29, 3,768.65 and 867.82 is: 1,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.29 : 3,768.65 = 867.82 : x
  2. Step 2: Convert to fraction form
    2,511.29/3,768.65 = 867.82/x
  3. Step 3: Cross multiply
    2,511.29x = 3,768.65 × 867.82
  4. Step 4: Simplify right side
    2,511.29x = 3,270,517.93
  5. Step 5: Solve for x
    x = 3,270,517.93/2,511.29
  6. Step 6: Final answer
    x = 1,302.33

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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.