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Finding the Fourth Proportional to 2,168.68, 3,249.24 and 1,805.80

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Solution

The fourth proportional to 2,168.68, 3,249.24 and 1,805.80 is: 2,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.68 : 3,249.24 = 1,805.80 : x
  2. Step 2: Convert to fraction form
    2,168.68/3,249.24 = 1,805.80/x
  3. Step 3: Cross multiply
    2,168.68x = 3,249.24 × 1,805.80
  4. Step 4: Simplify right side
    2,168.68x = 5,867,477.59
  5. Step 5: Solve for x
    x = 5,867,477.59/2,168.68
  6. Step 6: Final answer
    x = 2,705.55

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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.