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Finding the Fourth Proportional to 2,201.78, 3,305.10 and 1,229.78

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Solution

The fourth proportional to 2,201.78, 3,305.10 and 1,229.78 is: 1,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.78 : 3,305.10 = 1,229.78 : x
  2. Step 2: Convert to fraction form
    2,201.78/3,305.10 = 1,229.78/x
  3. Step 3: Cross multiply
    2,201.78x = 3,305.10 × 1,229.78
  4. Step 4: Simplify right side
    2,201.78x = 4,064,545.88
  5. Step 5: Solve for x
    x = 4,064,545.88/2,201.78
  6. Step 6: Final answer
    x = 1,846.03

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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.