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Finding the Fourth Proportional to 2,722.79, 4,083.43 and 747.95

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Solution

The fourth proportional to 2,722.79, 4,083.43 and 747.95 is: 1,121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.79 : 4,083.43 = 747.95 : x
  2. Step 2: Convert to fraction form
    2,722.79/4,083.43 = 747.95/x
  3. Step 3: Cross multiply
    2,722.79x = 4,083.43 × 747.95
  4. Step 4: Simplify right side
    2,722.79x = 3,054,181.05
  5. Step 5: Solve for x
    x = 3,054,181.05/2,722.79
  6. Step 6: Final answer
    x = 1,121.71

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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.