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Finding the Fourth Proportional to 3,067.71, 4,601.79 and 1,842.99

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Solution

The fourth proportional to 3,067.71, 4,601.79 and 1,842.99 is: 2,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.71 : 4,601.79 = 1,842.99 : x
  2. Step 2: Convert to fraction form
    3,067.71/4,601.79 = 1,842.99/x
  3. Step 3: Cross multiply
    3,067.71x = 4,601.79 × 1,842.99
  4. Step 4: Simplify right side
    3,067.71x = 8,481,052.95
  5. Step 5: Solve for x
    x = 8,481,052.95/3,067.71
  6. Step 6: Final answer
    x = 2,764.62

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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.