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Finding the Fourth Proportional to 2,721.41, 4,081.67 and 773.16

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Solution

The fourth proportional to 2,721.41, 4,081.67 and 773.16 is: 1,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.41 : 4,081.67 = 773.16 : x
  2. Step 2: Convert to fraction form
    2,721.41/4,081.67 = 773.16/x
  3. Step 3: Cross multiply
    2,721.41x = 4,081.67 × 773.16
  4. Step 4: Simplify right side
    2,721.41x = 3,155,783.98
  5. Step 5: Solve for x
    x = 3,155,783.98/2,721.41
  6. Step 6: Final answer
    x = 1,159.61

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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.