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Finding the Fourth Proportional to 2,667.70, 4,000.20 and 912.43

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Solution

The fourth proportional to 2,667.70, 4,000.20 and 912.43 is: 1,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.70 : 4,000.20 = 912.43 : x
  2. Step 2: Convert to fraction form
    2,667.70/4,000.20 = 912.43/x
  3. Step 3: Cross multiply
    2,667.70x = 4,000.20 × 912.43
  4. Step 4: Simplify right side
    2,667.70x = 3,649,902.49
  5. Step 5: Solve for x
    x = 3,649,902.49/2,667.70
  6. Step 6: Final answer
    x = 1,368.18

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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.