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Finding the Fourth Proportional to 2,105.42, 3,158.18 and 871.99

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Solution

The fourth proportional to 2,105.42, 3,158.18 and 871.99 is: 1,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.42 : 3,158.18 = 871.99 : x
  2. Step 2: Convert to fraction form
    2,105.42/3,158.18 = 871.99/x
  3. Step 3: Cross multiply
    2,105.42x = 3,158.18 × 871.99
  4. Step 4: Simplify right side
    2,105.42x = 2,753,901.38
  5. Step 5: Solve for x
    x = 2,753,901.38/2,105.42
  6. Step 6: Final answer
    x = 1,308.01

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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.