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Finding the Fourth Proportional to 2,209.24, 3,314.28 and 748

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Solution

The fourth proportional to 2,209.24, 3,314.28 and 748 is: 1,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.24 : 3,314.28 = 748 : x
  2. Step 2: Convert to fraction form
    2,209.24/3,314.28 = 748/x
  3. Step 3: Cross multiply
    2,209.24x = 3,314.28 × 748
  4. Step 4: Simplify right side
    2,209.24x = 2,479,081.44
  5. Step 5: Solve for x
    x = 2,479,081.44/2,209.24
  6. Step 6: Final answer
    x = 1,122.14

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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.