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Finding the Fourth Proportional to 3,174.72, 4,380.92 and 1,758.36

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Solution

The fourth proportional to 3,174.72, 4,380.92 and 1,758.36 is: 2,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.72 : 4,380.92 = 1,758.36 : x
  2. Step 2: Convert to fraction form
    3,174.72/4,380.92 = 1,758.36/x
  3. Step 3: Cross multiply
    3,174.72x = 4,380.92 × 1,758.36
  4. Step 4: Simplify right side
    3,174.72x = 7,703,234.49
  5. Step 5: Solve for x
    x = 7,703,234.49/3,174.72
  6. Step 6: Final answer
    x = 2,426.43

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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.