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Finding the Fourth Proportional to 2,721.07, 4,081.38 and 871.68

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Solution

The fourth proportional to 2,721.07, 4,081.38 and 871.68 is: 1,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.07 : 4,081.38 = 871.68 : x
  2. Step 2: Convert to fraction form
    2,721.07/4,081.38 = 871.68/x
  3. Step 3: Cross multiply
    2,721.07x = 4,081.38 × 871.68
  4. Step 4: Simplify right side
    2,721.07x = 3,557,657.32
  5. Step 5: Solve for x
    x = 3,557,657.32/2,721.07
  6. Step 6: Final answer
    x = 1,307.45

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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.