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Finding the Fourth Proportional to 3,171.90, 4,758.18 and 1,321.98

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Solution

The fourth proportional to 3,171.90, 4,758.18 and 1,321.98 is: 1,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.90 : 4,758.18 = 1,321.98 : x
  2. Step 2: Convert to fraction form
    3,171.90/4,758.18 = 1,321.98/x
  3. Step 3: Cross multiply
    3,171.90x = 4,758.18 × 1,321.98
  4. Step 4: Simplify right side
    3,171.90x = 6,290,218.80
  5. Step 5: Solve for x
    x = 6,290,218.80/3,171.90
  6. Step 6: Final answer
    x = 1,983.11

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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.