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Finding the Fourth Proportional to 2,109.94, 3,163.19 and 1,879.27

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Solution

The fourth proportional to 2,109.94, 3,163.19 and 1,879.27 is: 2,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.94 : 3,163.19 = 1,879.27 : x
  2. Step 2: Convert to fraction form
    2,109.94/3,163.19 = 1,879.27/x
  3. Step 3: Cross multiply
    2,109.94x = 3,163.19 × 1,879.27
  4. Step 4: Simplify right side
    2,109.94x = 5,944,488.07
  5. Step 5: Solve for x
    x = 5,944,488.07/2,109.94
  6. Step 6: Final answer
    x = 2,817.37

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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.