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Finding the Fourth Proportional to 2,105.97, 3,157.16 and 808.37

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Solution

The fourth proportional to 2,105.97, 3,157.16 and 808.37 is: 1,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.97 : 3,157.16 = 808.37 : x
  2. Step 2: Convert to fraction form
    2,105.97/3,157.16 = 808.37/x
  3. Step 3: Cross multiply
    2,105.97x = 3,157.16 × 808.37
  4. Step 4: Simplify right side
    2,105.97x = 2,552,149.39
  5. Step 5: Solve for x
    x = 2,552,149.39/2,105.97
  6. Step 6: Final answer
    x = 1,211.86

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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.