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Finding the Fourth Proportional to 3,267.27, 4,902.22 and 1,319.63

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Solution

The fourth proportional to 3,267.27, 4,902.22 and 1,319.63 is: 1,979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.27 : 4,902.22 = 1,319.63 : x
  2. Step 2: Convert to fraction form
    3,267.27/4,902.22 = 1,319.63/x
  3. Step 3: Cross multiply
    3,267.27x = 4,902.22 × 1,319.63
  4. Step 4: Simplify right side
    3,267.27x = 6,469,093.72
  5. Step 5: Solve for x
    x = 6,469,093.72/3,267.27
  6. Step 6: Final answer
    x = 1,979.97

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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.