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Finding the Fourth Proportional to 2,699.80, 4,042.17 and 1,380.71

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Solution

The fourth proportional to 2,699.80, 4,042.17 and 1,380.71 is: 2,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.80 : 4,042.17 = 1,380.71 : x
  2. Step 2: Convert to fraction form
    2,699.80/4,042.17 = 1,380.71/x
  3. Step 3: Cross multiply
    2,699.80x = 4,042.17 × 1,380.71
  4. Step 4: Simplify right side
    2,699.80x = 5,581,074.65
  5. Step 5: Solve for x
    x = 5,581,074.65/2,699.80
  6. Step 6: Final answer
    x = 2,067.22

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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.