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Finding the Fourth Proportional to 2,721.29, 4,081.37 and 871.91

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Solution

The fourth proportional to 2,721.29, 4,081.37 and 871.91 is: 1,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.29 : 4,081.37 = 871.91 : x
  2. Step 2: Convert to fraction form
    2,721.29/4,081.37 = 871.91/x
  3. Step 3: Cross multiply
    2,721.29x = 4,081.37 × 871.91
  4. Step 4: Simplify right side
    2,721.29x = 3,558,587.32
  5. Step 5: Solve for x
    x = 3,558,587.32/2,721.29
  6. Step 6: Final answer
    x = 1,307.68

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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.