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Finding the Fourth Proportional to 3,067.88, 4,601.88 and 876.62

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Solution

The fourth proportional to 3,067.88, 4,601.88 and 876.62 is: 1,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.88 : 4,601.88 = 876.62 : x
  2. Step 2: Convert to fraction form
    3,067.88/4,601.88 = 876.62/x
  3. Step 3: Cross multiply
    3,067.88x = 4,601.88 × 876.62
  4. Step 4: Simplify right side
    3,067.88x = 4,034,100.05
  5. Step 5: Solve for x
    x = 4,034,100.05/3,067.88
  6. Step 6: Final answer
    x = 1,314.95

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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.