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Finding the Fourth Proportional to 2,227, 3,348.10 and 2,044.84

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Solution

The fourth proportional to 2,227, 3,348.10 and 2,044.84 is: 3,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227 : 3,348.10 = 2,044.84 : x
  2. Step 2: Convert to fraction form
    2,227/3,348.10 = 2,044.84/x
  3. Step 3: Cross multiply
    2,227x = 3,348.10 × 2,044.84
  4. Step 4: Simplify right side
    2,227x = 6,846,328.80
  5. Step 5: Solve for x
    x = 6,846,328.80/2,227
  6. Step 6: Final answer
    x = 3,074.24

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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.