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Finding the Fourth Proportional to 3,171.59, 4,757.72 and 1,321.67

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Solution

The fourth proportional to 3,171.59, 4,757.72 and 1,321.67 is: 1,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.59 : 4,757.72 = 1,321.67 : x
  2. Step 2: Convert to fraction form
    3,171.59/4,757.72 = 1,321.67/x
  3. Step 3: Cross multiply
    3,171.59x = 4,757.72 × 1,321.67
  4. Step 4: Simplify right side
    3,171.59x = 6,288,135.79
  5. Step 5: Solve for x
    x = 6,288,135.79/3,171.59
  6. Step 6: Final answer
    x = 1,982.64

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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.