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Finding the Fourth Proportional to 2,156.85, 3,231.03 and 1,229.61

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Solution

The fourth proportional to 2,156.85, 3,231.03 and 1,229.61 is: 1,841.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.85 : 3,231.03 = 1,229.61 : x
  2. Step 2: Convert to fraction form
    2,156.85/3,231.03 = 1,229.61/x
  3. Step 3: Cross multiply
    2,156.85x = 3,231.03 × 1,229.61
  4. Step 4: Simplify right side
    2,156.85x = 3,972,906.80
  5. Step 5: Solve for x
    x = 3,972,906.80/2,156.85
  6. Step 6: Final answer
    x = 1,841.99

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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.