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Finding the Fourth Proportional to 2,105.31, 3,157.86 and 871.80

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Solution

The fourth proportional to 2,105.31, 3,157.86 and 871.80 is: 1,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.31 : 3,157.86 = 871.80 : x
  2. Step 2: Convert to fraction form
    2,105.31/3,157.86 = 871.80/x
  3. Step 3: Cross multiply
    2,105.31x = 3,157.86 × 871.80
  4. Step 4: Simplify right side
    2,105.31x = 2,753,022.35
  5. Step 5: Solve for x
    x = 2,753,022.35/2,105.31
  6. Step 6: Final answer
    x = 1,307.66

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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.