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Finding the Fourth Proportional to 2,667.62, 4,006.61 and 2,174.39

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Solution

The fourth proportional to 2,667.62, 4,006.61 and 2,174.39 is: 3,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.62 : 4,006.61 = 2,174.39 : x
  2. Step 2: Convert to fraction form
    2,667.62/4,006.61 = 2,174.39/x
  3. Step 3: Cross multiply
    2,667.62x = 4,006.61 × 2,174.39
  4. Step 4: Simplify right side
    2,667.62x = 8,711,918.12
  5. Step 5: Solve for x
    x = 8,711,918.12/2,667.62
  6. Step 6: Final answer
    x = 3,265.81

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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.