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Finding the Fourth Proportional to 3,174.57, 4,379.16 and 2,278.29

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Solution

The fourth proportional to 3,174.57, 4,379.16 and 2,278.29 is: 3,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.57 : 4,379.16 = 2,278.29 : x
  2. Step 2: Convert to fraction form
    3,174.57/4,379.16 = 2,278.29/x
  3. Step 3: Cross multiply
    3,174.57x = 4,379.16 × 2,278.29
  4. Step 4: Simplify right side
    3,174.57x = 9,976,996.44
  5. Step 5: Solve for x
    x = 9,976,996.44/3,174.57
  6. Step 6: Final answer
    x = 3,142.79

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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.