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Finding the Fourth Proportional to 1,648.33, 2,469.24 and 867.17

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Solution

The fourth proportional to 1,648.33, 2,469.24 and 867.17 is: 1,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.33 : 2,469.24 = 867.17 : x
  2. Step 2: Convert to fraction form
    1,648.33/2,469.24 = 867.17/x
  3. Step 3: Cross multiply
    1,648.33x = 2,469.24 × 867.17
  4. Step 4: Simplify right side
    1,648.33x = 2,141,257.02
  5. Step 5: Solve for x
    x = 2,141,257.02/1,648.33
  6. Step 6: Final answer
    x = 1,299.05

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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.