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Finding the Fourth Proportional to 3,174.21, 4,380.03 and 1,757.70

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Solution

The fourth proportional to 3,174.21, 4,380.03 and 1,757.70 is: 2,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.21 : 4,380.03 = 1,757.70 : x
  2. Step 2: Convert to fraction form
    3,174.21/4,380.03 = 1,757.70/x
  3. Step 3: Cross multiply
    3,174.21x = 4,380.03 × 1,757.70
  4. Step 4: Simplify right side
    3,174.21x = 7,698,778.73
  5. Step 5: Solve for x
    x = 7,698,778.73/3,174.21
  6. Step 6: Final answer
    x = 2,425.42

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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.