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Finding the Fourth Proportional to 2,667.87, 4,001.82 and 936.48

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Solution

The fourth proportional to 2,667.87, 4,001.82 and 936.48 is: 1,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.87 : 4,001.82 = 936.48 : x
  2. Step 2: Convert to fraction form
    2,667.87/4,001.82 = 936.48/x
  3. Step 3: Cross multiply
    2,667.87x = 4,001.82 × 936.48
  4. Step 4: Simplify right side
    2,667.87x = 3,747,624.39
  5. Step 5: Solve for x
    x = 3,747,624.39/2,667.87
  6. Step 6: Final answer
    x = 1,404.73

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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.