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Finding the Fourth Proportional to 2,207, 3,311.04 and 668

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Solution

The fourth proportional to 2,207, 3,311.04 and 668 is: 1,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207 : 3,311.04 = 668 : x
  2. Step 2: Convert to fraction form
    2,207/3,311.04 = 668/x
  3. Step 3: Cross multiply
    2,207x = 3,311.04 × 668
  4. Step 4: Simplify right side
    2,207x = 2,211,774.72
  5. Step 5: Solve for x
    x = 2,211,774.72/2,207
  6. Step 6: Final answer
    x = 1,002.16

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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.