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Finding the Fourth Proportional to 3,222.97, 4,833.03 and 1,663.85

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Solution

The fourth proportional to 3,222.97, 4,833.03 and 1,663.85 is: 2,495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.97 : 4,833.03 = 1,663.85 : x
  2. Step 2: Convert to fraction form
    3,222.97/4,833.03 = 1,663.85/x
  3. Step 3: Cross multiply
    3,222.97x = 4,833.03 × 1,663.85
  4. Step 4: Simplify right side
    3,222.97x = 8,041,436.97
  5. Step 5: Solve for x
    x = 8,041,436.97/3,222.97
  6. Step 6: Final answer
    x = 2,495.04

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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.