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Finding the Fourth Proportional to 2,789.97, 3,850.19 and 1,595.20

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Solution

The fourth proportional to 2,789.97, 3,850.19 and 1,595.20 is: 2,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.97 : 3,850.19 = 1,595.20 : x
  2. Step 2: Convert to fraction form
    2,789.97/3,850.19 = 1,595.20/x
  3. Step 3: Cross multiply
    2,789.97x = 3,850.19 × 1,595.20
  4. Step 4: Simplify right side
    2,789.97x = 6,141,823.09
  5. Step 5: Solve for x
    x = 6,141,823.09/2,789.97
  6. Step 6: Final answer
    x = 2,201.39

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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.