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Finding the Fourth Proportional to 2,109.39, 3,163.76 and 1,327.01

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Solution

The fourth proportional to 2,109.39, 3,163.76 and 1,327.01 is: 1,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.39 : 3,163.76 = 1,327.01 : x
  2. Step 2: Convert to fraction form
    2,109.39/3,163.76 = 1,327.01/x
  3. Step 3: Cross multiply
    2,109.39x = 3,163.76 × 1,327.01
  4. Step 4: Simplify right side
    2,109.39x = 4,198,318.70
  5. Step 5: Solve for x
    x = 4,198,318.70/2,109.39
  6. Step 6: Final answer
    x = 1,990.30

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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.