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Finding the Fourth Proportional to 2,105.82, 2,906.08 and 1,209.71

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Solution

The fourth proportional to 2,105.82, 2,906.08 and 1,209.71 is: 1,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.82 : 2,906.08 = 1,209.71 : x
  2. Step 2: Convert to fraction form
    2,105.82/2,906.08 = 1,209.71/x
  3. Step 3: Cross multiply
    2,105.82x = 2,906.08 × 1,209.71
  4. Step 4: Simplify right side
    2,105.82x = 3,515,518.28
  5. Step 5: Solve for x
    x = 3,515,518.28/2,105.82
  6. Step 6: Final answer
    x = 1,669.43

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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.