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Finding the Fourth Proportional to 2,906.80, 4,010.92 and 1,912.48

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Solution

The fourth proportional to 2,906.80, 4,010.92 and 1,912.48 is: 2,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.80 : 4,010.92 = 1,912.48 : x
  2. Step 2: Convert to fraction form
    2,906.80/4,010.92 = 1,912.48/x
  3. Step 3: Cross multiply
    2,906.80x = 4,010.92 × 1,912.48
  4. Step 4: Simplify right side
    2,906.80x = 7,670,804.28
  5. Step 5: Solve for x
    x = 7,670,804.28/2,906.80
  6. Step 6: Final answer
    x = 2,638.92

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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.