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Finding the Fourth Proportional to 1,338.44, 1,991.77 and 1,286.60

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Solution

The fourth proportional to 1,338.44, 1,991.77 and 1,286.60 is: 1,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.44 : 1,991.77 = 1,286.60 : x
  2. Step 2: Convert to fraction form
    1,338.44/1,991.77 = 1,286.60/x
  3. Step 3: Cross multiply
    1,338.44x = 1,991.77 × 1,286.60
  4. Step 4: Simplify right side
    1,338.44x = 2,562,611.28
  5. Step 5: Solve for x
    x = 2,562,611.28/1,338.44
  6. Step 6: Final answer
    x = 1,914.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.