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Finding the Fourth Proportional to 2,103.25, 3,155.77 and 871.56

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Solution

The fourth proportional to 2,103.25, 3,155.77 and 871.56 is: 1,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.25 : 3,155.77 = 871.56 : x
  2. Step 2: Convert to fraction form
    2,103.25/3,155.77 = 871.56/x
  3. Step 3: Cross multiply
    2,103.25x = 3,155.77 × 871.56
  4. Step 4: Simplify right side
    2,103.25x = 2,750,442.90
  5. Step 5: Solve for x
    x = 2,750,442.90/2,103.25
  6. Step 6: Final answer
    x = 1,307.71

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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.