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Finding the Fourth Proportional to 2,208.38, 3,311.42 and 747

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Solution

The fourth proportional to 2,208.38, 3,311.42 and 747 is: 1,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.38 : 3,311.42 = 747 : x
  2. Step 2: Convert to fraction form
    2,208.38/3,311.42 = 747/x
  3. Step 3: Cross multiply
    2,208.38x = 3,311.42 × 747
  4. Step 4: Simplify right side
    2,208.38x = 2,473,627.01
  5. Step 5: Solve for x
    x = 2,473,627.01/2,208.38
  6. Step 6: Final answer
    x = 1,120.11

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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.