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Finding the Fourth Proportional to 3,061.59, 4,224.26 and 1,942.12

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Solution

The fourth proportional to 3,061.59, 4,224.26 and 1,942.12 is: 2,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.59 : 4,224.26 = 1,942.12 : x
  2. Step 2: Convert to fraction form
    3,061.59/4,224.26 = 1,942.12/x
  3. Step 3: Cross multiply
    3,061.59x = 4,224.26 × 1,942.12
  4. Step 4: Simplify right side
    3,061.59x = 8,204,020.68
  5. Step 5: Solve for x
    x = 8,204,020.68/3,061.59
  6. Step 6: Final answer
    x = 2,679.66

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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.