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Finding the Fourth Proportional to 2,767.92, 4,150.67 and 1,469.09

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Solution

The fourth proportional to 2,767.92, 4,150.67 and 1,469.09 is: 2,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.92 : 4,150.67 = 1,469.09 : x
  2. Step 2: Convert to fraction form
    2,767.92/4,150.67 = 1,469.09/x
  3. Step 3: Cross multiply
    2,767.92x = 4,150.67 × 1,469.09
  4. Step 4: Simplify right side
    2,767.92x = 6,097,679.69
  5. Step 5: Solve for x
    x = 6,097,679.69/2,767.92
  6. Step 6: Final answer
    x = 2,202.98

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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.