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Finding the Fourth Proportional to 2,105.98, 2,906.52 and 1,221.80

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Solution

The fourth proportional to 2,105.98, 2,906.52 and 1,221.80 is: 1,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.98 : 2,906.52 = 1,221.80 : x
  2. Step 2: Convert to fraction form
    2,105.98/2,906.52 = 1,221.80/x
  3. Step 3: Cross multiply
    2,105.98x = 2,906.52 × 1,221.80
  4. Step 4: Simplify right side
    2,105.98x = 3,551,167.02
  5. Step 5: Solve for x
    x = 3,551,167.02/2,105.98
  6. Step 6: Final answer
    x = 1,686.23

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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.