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Finding the Fourth Proportional to 2,974.73, 4,105.89 and 1,913.22

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Solution

The fourth proportional to 2,974.73, 4,105.89 and 1,913.22 is: 2,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.73 : 4,105.89 = 1,913.22 : x
  2. Step 2: Convert to fraction form
    2,974.73/4,105.89 = 1,913.22/x
  3. Step 3: Cross multiply
    2,974.73x = 4,105.89 × 1,913.22
  4. Step 4: Simplify right side
    2,974.73x = 7,855,470.87
  5. Step 5: Solve for x
    x = 7,855,470.87/2,974.73
  6. Step 6: Final answer
    x = 2,640.74

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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.