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Finding the Fourth Proportional to 2,974.34, 4,105.49 and 2,190.66

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Solution

The fourth proportional to 2,974.34, 4,105.49 and 2,190.66 is: 3,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.34 : 4,105.49 = 2,190.66 : x
  2. Step 2: Convert to fraction form
    2,974.34/4,105.49 = 2,190.66/x
  3. Step 3: Cross multiply
    2,974.34x = 4,105.49 × 2,190.66
  4. Step 4: Simplify right side
    2,974.34x = 8,993,721.77
  5. Step 5: Solve for x
    x = 8,993,721.77/2,974.34
  6. Step 6: Final answer
    x = 3,023.78

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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.