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Finding the Fourth Proportional to 2,207.20, 3,310.80 and 668

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Solution

The fourth proportional to 2,207.20, 3,310.80 and 668 is: 1,002

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.20 : 3,310.80 = 668 : x
  2. Step 2: Convert to fraction form
    2,207.20/3,310.80 = 668/x
  3. Step 3: Cross multiply
    2,207.20x = 3,310.80 × 668
  4. Step 4: Simplify right side
    2,207.20x = 2,211,614.40
  5. Step 5: Solve for x
    x = 2,211,614.40/2,207.20
  6. Step 6: Final answer
    x = 1,002

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.