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Finding the Fourth Proportional to 2,207.57, 3,311.28 and 668.57

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Solution

The fourth proportional to 2,207.57, 3,311.28 and 668.57 is: 1,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.57 : 3,311.28 = 668.57 : x
  2. Step 2: Convert to fraction form
    2,207.57/3,311.28 = 668.57/x
  3. Step 3: Cross multiply
    2,207.57x = 3,311.28 × 668.57
  4. Step 4: Simplify right side
    2,207.57x = 2,213,805.91
  5. Step 5: Solve for x
    x = 2,213,805.91/2,207.57
  6. Step 6: Final answer
    x = 1,002.83

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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.