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Finding the Fourth Proportional to 2,207.38, 3,311.07 and 668.38

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Solution

The fourth proportional to 2,207.38, 3,311.07 and 668.38 is: 1,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.38 : 3,311.07 = 668.38 : x
  2. Step 2: Convert to fraction form
    2,207.38/3,311.07 = 668.38/x
  3. Step 3: Cross multiply
    2,207.38x = 3,311.07 × 668.38
  4. Step 4: Simplify right side
    2,207.38x = 2,213,052.97
  5. Step 5: Solve for x
    x = 2,213,052.97/2,207.38
  6. Step 6: Final answer
    x = 1,002.57

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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.