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Finding the Fourth Proportional to 2,822.12, 4,229.07 and 2,001.99

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Solution

The fourth proportional to 2,822.12, 4,229.07 and 2,001.99 is: 3,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.12 : 4,229.07 = 2,001.99 : x
  2. Step 2: Convert to fraction form
    2,822.12/4,229.07 = 2,001.99/x
  3. Step 3: Cross multiply
    2,822.12x = 4,229.07 × 2,001.99
  4. Step 4: Simplify right side
    2,822.12x = 8,466,555.85
  5. Step 5: Solve for x
    x = 8,466,555.85/2,822.12
  6. Step 6: Final answer
    x = 3,000.07

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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.