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Finding the Fourth Proportional to 3,067.68, 4,601.74 and 876.43

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Solution

The fourth proportional to 3,067.68, 4,601.74 and 876.43 is: 1,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.68 : 4,601.74 = 876.43 : x
  2. Step 2: Convert to fraction form
    3,067.68/4,601.74 = 876.43/x
  3. Step 3: Cross multiply
    3,067.68x = 4,601.74 × 876.43
  4. Step 4: Simplify right side
    3,067.68x = 4,033,102.99
  5. Step 5: Solve for x
    x = 4,033,102.99/3,067.68
  6. Step 6: Final answer
    x = 1,314.71

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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.