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Finding the Fourth Proportional to 3,267.72, 4,901.56 and 1,319.90

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Solution

The fourth proportional to 3,267.72, 4,901.56 and 1,319.90 is: 1,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.72 : 4,901.56 = 1,319.90 : x
  2. Step 2: Convert to fraction form
    3,267.72/4,901.56 = 1,319.90/x
  3. Step 3: Cross multiply
    3,267.72x = 4,901.56 × 1,319.90
  4. Step 4: Simplify right side
    3,267.72x = 6,469,541.24
  5. Step 5: Solve for x
    x = 6,469,541.24/3,267.72
  6. Step 6: Final answer
    x = 1,979.83

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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.