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Finding the Fourth Proportional to 2,772.72, 4,174.56 and 1,912.68

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Solution

The fourth proportional to 2,772.72, 4,174.56 and 1,912.68 is: 2,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.72 : 4,174.56 = 1,912.68 : x
  2. Step 2: Convert to fraction form
    2,772.72/4,174.56 = 1,912.68/x
  3. Step 3: Cross multiply
    2,772.72x = 4,174.56 × 1,912.68
  4. Step 4: Simplify right side
    2,772.72x = 7,984,597.42
  5. Step 5: Solve for x
    x = 7,984,597.42/2,772.72
  6. Step 6: Final answer
    x = 2,879.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.