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Finding the Fourth Proportional to 2,667.46, 3,999.17 and 912.01

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Solution

The fourth proportional to 2,667.46, 3,999.17 and 912.01 is: 1,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.46 : 3,999.17 = 912.01 : x
  2. Step 2: Convert to fraction form
    2,667.46/3,999.17 = 912.01/x
  3. Step 3: Cross multiply
    2,667.46x = 3,999.17 × 912.01
  4. Step 4: Simplify right side
    2,667.46x = 3,647,282.81
  5. Step 5: Solve for x
    x = 3,647,282.81/2,667.46
  6. Step 6: Final answer
    x = 1,367.33

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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.