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Finding the Fourth Proportional to 3,067.97, 4,601.86 and 876.70

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Solution

The fourth proportional to 3,067.97, 4,601.86 and 876.70 is: 1,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.97 : 4,601.86 = 876.70 : x
  2. Step 2: Convert to fraction form
    3,067.97/4,601.86 = 876.70/x
  3. Step 3: Cross multiply
    3,067.97x = 4,601.86 × 876.70
  4. Step 4: Simplify right side
    3,067.97x = 4,034,450.66
  5. Step 5: Solve for x
    x = 4,034,450.66/3,067.97
  6. Step 6: Final answer
    x = 1,315.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.