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Finding the Fourth Proportional to 2,720.24, 4,081.14 and 871.64

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Solution

The fourth proportional to 2,720.24, 4,081.14 and 871.64 is: 1,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.24 : 4,081.14 = 871.64 : x
  2. Step 2: Convert to fraction form
    2,720.24/4,081.14 = 871.64/x
  3. Step 3: Cross multiply
    2,720.24x = 4,081.14 × 871.64
  4. Step 4: Simplify right side
    2,720.24x = 3,557,284.87
  5. Step 5: Solve for x
    x = 3,557,284.87/2,720.24
  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.