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Finding the Fourth Proportional to 2,974.92, 4,440.56 and 2,755

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Solution

The fourth proportional to 2,974.92, 4,440.56 and 2,755 is: 4,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.92 : 4,440.56 = 2,755 : x
  2. Step 2: Convert to fraction form
    2,974.92/4,440.56 = 2,755/x
  3. Step 3: Cross multiply
    2,974.92x = 4,440.56 × 2,755
  4. Step 4: Simplify right side
    2,974.92x = 12,233,742.80
  5. Step 5: Solve for x
    x = 12,233,742.80/2,974.92
  6. Step 6: Final answer
    x = 4,112.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.