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Finding the Fourth Proportional to 2,722.04, 4,081.83 and 773.78

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Solution

The fourth proportional to 2,722.04, 4,081.83 and 773.78 is: 1,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.04 : 4,081.83 = 773.78 : x
  2. Step 2: Convert to fraction form
    2,722.04/4,081.83 = 773.78/x
  3. Step 3: Cross multiply
    2,722.04x = 4,081.83 × 773.78
  4. Step 4: Simplify right side
    2,722.04x = 3,158,438.42
  5. Step 5: Solve for x
    x = 3,158,438.42/2,722.04
  6. Step 6: Final answer
    x = 1,160.32

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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.