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Finding the Fourth Proportional to 2,721.14, 4,081.74 and 773.34

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Solution

The fourth proportional to 2,721.14, 4,081.74 and 773.34 is: 1,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.14 : 4,081.74 = 773.34 : x
  2. Step 2: Convert to fraction form
    2,721.14/4,081.74 = 773.34/x
  3. Step 3: Cross multiply
    2,721.14x = 4,081.74 × 773.34
  4. Step 4: Simplify right side
    2,721.14x = 3,156,572.81
  5. Step 5: Solve for x
    x = 3,156,572.81/2,721.14
  6. Step 6: Final answer
    x = 1,160.02

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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.