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Finding the Fourth Proportional to 2,721.01, 4,081.42 and 773.21

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Solution

The fourth proportional to 2,721.01, 4,081.42 and 773.21 is: 1,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.01 : 4,081.42 = 773.21 : x
  2. Step 2: Convert to fraction form
    2,721.01/4,081.42 = 773.21/x
  3. Step 3: Cross multiply
    2,721.01x = 4,081.42 × 773.21
  4. Step 4: Simplify right side
    2,721.01x = 3,155,794.76
  5. Step 5: Solve for x
    x = 3,155,794.76/2,721.01
  6. Step 6: Final answer
    x = 1,159.79

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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.