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Finding the Fourth Proportional to 3,205.93, 4,424.08 and 1,789.62

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Solution

The fourth proportional to 3,205.93, 4,424.08 and 1,789.62 is: 2,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.93 : 4,424.08 = 1,789.62 : x
  2. Step 2: Convert to fraction form
    3,205.93/4,424.08 = 1,789.62/x
  3. Step 3: Cross multiply
    3,205.93x = 4,424.08 × 1,789.62
  4. Step 4: Simplify right side
    3,205.93x = 7,917,422.05
  5. Step 5: Solve for x
    x = 7,917,422.05/3,205.93
  6. Step 6: Final answer
    x = 2,469.62

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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.