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Finding the Fourth Proportional to 3,471.89, 4,791.33 and 1,980.05

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Solution

The fourth proportional to 3,471.89, 4,791.33 and 1,980.05 is: 2,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.89 : 4,791.33 = 1,980.05 : x
  2. Step 2: Convert to fraction form
    3,471.89/4,791.33 = 1,980.05/x
  3. Step 3: Cross multiply
    3,471.89x = 4,791.33 × 1,980.05
  4. Step 4: Simplify right side
    3,471.89x = 9,487,049.01
  5. Step 5: Solve for x
    x = 9,487,049.01/3,471.89
  6. Step 6: Final answer
    x = 2,732.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.