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Finding the Fourth Proportional to 2,234.97, 3,348.68 and 1,908.81

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Solution

The fourth proportional to 2,234.97, 3,348.68 and 1,908.81 is: 2,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.97 : 3,348.68 = 1,908.81 : x
  2. Step 2: Convert to fraction form
    2,234.97/3,348.68 = 1,908.81/x
  3. Step 3: Cross multiply
    2,234.97x = 3,348.68 × 1,908.81
  4. Step 4: Simplify right side
    2,234.97x = 6,391,984.33
  5. Step 5: Solve for x
    x = 6,391,984.33/2,234.97
  6. Step 6: Final answer
    x = 2,859.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.