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Finding the Fourth Proportional to 3,171.90, 4,757.10 and 1,323.04

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Solution

The fourth proportional to 3,171.90, 4,757.10 and 1,323.04 is: 1,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.90 : 4,757.10 = 1,323.04 : x
  2. Step 2: Convert to fraction form
    3,171.90/4,757.10 = 1,323.04/x
  3. Step 3: Cross multiply
    3,171.90x = 4,757.10 × 1,323.04
  4. Step 4: Simplify right side
    3,171.90x = 6,293,833.58
  5. Step 5: Solve for x
    x = 6,293,833.58/3,171.90
  6. Step 6: Final answer
    x = 1,984.25

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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.