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Finding the Fourth Proportional to 2,717.65, 4,067.24 and 1,678.31

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Solution

The fourth proportional to 2,717.65, 4,067.24 and 1,678.31 is: 2,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.65 : 4,067.24 = 1,678.31 : x
  2. Step 2: Convert to fraction form
    2,717.65/4,067.24 = 1,678.31/x
  3. Step 3: Cross multiply
    2,717.65x = 4,067.24 × 1,678.31
  4. Step 4: Simplify right side
    2,717.65x = 6,826,089.56
  5. Step 5: Solve for x
    x = 6,826,089.56/2,717.65
  6. Step 6: Final answer
    x = 2,511.76

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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.