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Finding the Fourth Proportional to 2,105.31, 3,158.09 and 872.81

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Solution

The fourth proportional to 2,105.31, 3,158.09 and 872.81 is: 1,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.31 : 3,158.09 = 872.81 : x
  2. Step 2: Convert to fraction form
    2,105.31/3,158.09 = 872.81/x
  3. Step 3: Cross multiply
    2,105.31x = 3,158.09 × 872.81
  4. Step 4: Simplify right side
    2,105.31x = 2,756,412.53
  5. Step 5: Solve for x
    x = 2,756,412.53/2,105.31
  6. Step 6: Final answer
    x = 1,309.27

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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.