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Finding the Fourth Proportional to 2,720.68, 4,081.04 and 871.80

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Solution

The fourth proportional to 2,720.68, 4,081.04 and 871.80 is: 1,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.68 : 4,081.04 = 871.80 : x
  2. Step 2: Convert to fraction form
    2,720.68/4,081.04 = 871.80/x
  3. Step 3: Cross multiply
    2,720.68x = 4,081.04 × 871.80
  4. Step 4: Simplify right side
    2,720.68x = 3,557,850.67
  5. Step 5: Solve for x
    x = 3,557,850.67/2,720.68
  6. Step 6: Final answer
    x = 1,307.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.