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Finding the Fourth Proportional to 2,789.82, 3,850.29 and 1,610.85

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Solution

The fourth proportional to 2,789.82, 3,850.29 and 1,610.85 is: 2,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.82 : 3,850.29 = 1,610.85 : x
  2. Step 2: Convert to fraction form
    2,789.82/3,850.29 = 1,610.85/x
  3. Step 3: Cross multiply
    2,789.82x = 3,850.29 × 1,610.85
  4. Step 4: Simplify right side
    2,789.82x = 6,202,239.65
  5. Step 5: Solve for x
    x = 6,202,239.65/2,789.82
  6. Step 6: Final answer
    x = 2,223.17

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