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Finding the Fourth Proportional to 3,174.34, 4,380.60 and 1,847.70

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Solution

The fourth proportional to 3,174.34, 4,380.60 and 1,847.70 is: 2,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.34 : 4,380.60 = 1,847.70 : x
  2. Step 2: Convert to fraction form
    3,174.34/4,380.60 = 1,847.70/x
  3. Step 3: Cross multiply
    3,174.34x = 4,380.60 × 1,847.70
  4. Step 4: Simplify right side
    3,174.34x = 8,094,034.62
  5. Step 5: Solve for x
    x = 8,094,034.62/3,174.34
  6. Step 6: Final answer
    x = 2,549.83

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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.