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Finding the Fourth Proportional to 3,061.97, 4,224.77 and 1,942.50

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Solution

The fourth proportional to 3,061.97, 4,224.77 and 1,942.50 is: 2,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.97 : 4,224.77 = 1,942.50 : x
  2. Step 2: Convert to fraction form
    3,061.97/4,224.77 = 1,942.50/x
  3. Step 3: Cross multiply
    3,061.97x = 4,224.77 × 1,942.50
  4. Step 4: Simplify right side
    3,061.97x = 8,206,620.58
  5. Step 5: Solve for x
    x = 8,206,620.58/3,061.97
  6. Step 6: Final answer
    x = 2,680.18

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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.