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Finding the Fourth Proportional to 2,667, 3,984.32 and 2,229.60

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Solution

The fourth proportional to 2,667, 3,984.32 and 2,229.60 is: 3,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667 : 3,984.32 = 2,229.60 : x
  2. Step 2: Convert to fraction form
    2,667/3,984.32 = 2,229.60/x
  3. Step 3: Cross multiply
    2,667x = 3,984.32 × 2,229.60
  4. Step 4: Simplify right side
    2,667x = 8,883,428.72
  5. Step 5: Solve for x
    x = 8,883,428.72/2,667
  6. Step 6: Final answer
    x = 3,330.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.