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Finding the Fourth Proportional to 2,721.17, 4,081.74 and 773.37

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Solution

The fourth proportional to 2,721.17, 4,081.74 and 773.37 is: 1,160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.17 : 4,081.74 = 773.37 : x
  2. Step 2: Convert to fraction form
    2,721.17/4,081.74 = 773.37/x
  3. Step 3: Cross multiply
    2,721.17x = 4,081.74 × 773.37
  4. Step 4: Simplify right side
    2,721.17x = 3,156,695.26
  5. Step 5: Solve for x
    x = 3,156,695.26/2,721.17
  6. Step 6: Final answer
    x = 1,160.05

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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.