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Finding the Fourth Proportional to 2,209.78, 3,314.70 and 748.78

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Solution

The fourth proportional to 2,209.78, 3,314.70 and 748.78 is: 1,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.78 : 3,314.70 = 748.78 : x
  2. Step 2: Convert to fraction form
    2,209.78/3,314.70 = 748.78/x
  3. Step 3: Cross multiply
    2,209.78x = 3,314.70 × 748.78
  4. Step 4: Simplify right side
    2,209.78x = 2,481,981.07
  5. Step 5: Solve for x
    x = 2,481,981.07/2,209.78
  6. Step 6: Final answer
    x = 1,123.18

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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.