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Finding the Fourth Proportional to 3,171.57, 4,758.27 and 1,321.73

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Solution

The fourth proportional to 3,171.57, 4,758.27 and 1,321.73 is: 1,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.57 : 4,758.27 = 1,321.73 : x
  2. Step 2: Convert to fraction form
    3,171.57/4,758.27 = 1,321.73/x
  3. Step 3: Cross multiply
    3,171.57x = 4,758.27 × 1,321.73
  4. Step 4: Simplify right side
    3,171.57x = 6,289,148.21
  5. Step 5: Solve for x
    x = 6,289,148.21/3,171.57
  6. Step 6: Final answer
    x = 1,982.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.