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Finding the Fourth Proportional to 2,876.18, 3,969.17 and 2,247.44

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Solution

The fourth proportional to 2,876.18, 3,969.17 and 2,247.44 is: 3,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.18 : 3,969.17 = 2,247.44 : x
  2. Step 2: Convert to fraction form
    2,876.18/3,969.17 = 2,247.44/x
  3. Step 3: Cross multiply
    2,876.18x = 3,969.17 × 2,247.44
  4. Step 4: Simplify right side
    2,876.18x = 8,920,440.34
  5. Step 5: Solve for x
    x = 8,920,440.34/2,876.18
  6. Step 6: Final answer
    x = 3,101.49

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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.