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Finding the Fourth Proportional to 2,104.15, 3,156.27 and 871.23

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Solution

The fourth proportional to 2,104.15, 3,156.27 and 871.23 is: 1,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.15 : 3,156.27 = 871.23 : x
  2. Step 2: Convert to fraction form
    2,104.15/3,156.27 = 871.23/x
  3. Step 3: Cross multiply
    2,104.15x = 3,156.27 × 871.23
  4. Step 4: Simplify right side
    2,104.15x = 2,749,828.54
  5. Step 5: Solve for x
    x = 2,749,828.54/2,104.15
  6. Step 6: Final answer
    x = 1,306.86

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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.