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Finding the Fourth Proportional to 3,244.44, 4,866.92 and 1,296.38

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Solution

The fourth proportional to 3,244.44, 4,866.92 and 1,296.38 is: 1,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.44 : 4,866.92 = 1,296.38 : x
  2. Step 2: Convert to fraction form
    3,244.44/4,866.92 = 1,296.38/x
  3. Step 3: Cross multiply
    3,244.44x = 4,866.92 × 1,296.38
  4. Step 4: Simplify right side
    3,244.44x = 6,309,377.75
  5. Step 5: Solve for x
    x = 6,309,377.75/3,244.44
  6. Step 6: Final answer
    x = 1,944.67

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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.