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Finding the Fourth Proportional to 3,044.22, 4,201.11 and 1,786.11

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Solution

The fourth proportional to 3,044.22, 4,201.11 and 1,786.11 is: 2,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.22 : 4,201.11 = 1,786.11 : x
  2. Step 2: Convert to fraction form
    3,044.22/4,201.11 = 1,786.11/x
  3. Step 3: Cross multiply
    3,044.22x = 4,201.11 × 1,786.11
  4. Step 4: Simplify right side
    3,044.22x = 7,503,644.58
  5. Step 5: Solve for x
    x = 7,503,644.58/3,044.22
  6. Step 6: Final answer
    x = 2,464.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.