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Finding the Fourth Proportional to 2,667.16, 3,993.66 and 2,144.68

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Solution

The fourth proportional to 2,667.16, 3,993.66 and 2,144.68 is: 3,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.16 : 3,993.66 = 2,144.68 : x
  2. Step 2: Convert to fraction form
    2,667.16/3,993.66 = 2,144.68/x
  3. Step 3: Cross multiply
    2,667.16x = 3,993.66 × 2,144.68
  4. Step 4: Simplify right side
    2,667.16x = 8,565,122.73
  5. Step 5: Solve for x
    x = 8,565,122.73/2,667.16
  6. Step 6: Final answer
    x = 3,211.33

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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.