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Finding the Fourth Proportional to 2,193.85, 3,286.44 and 1,268.83

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Solution

The fourth proportional to 2,193.85, 3,286.44 and 1,268.83 is: 1,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.85 : 3,286.44 = 1,268.83 : x
  2. Step 2: Convert to fraction form
    2,193.85/3,286.44 = 1,268.83/x
  3. Step 3: Cross multiply
    2,193.85x = 3,286.44 × 1,268.83
  4. Step 4: Simplify right side
    2,193.85x = 4,169,933.67
  5. Step 5: Solve for x
    x = 4,169,933.67/2,193.85
  6. Step 6: Final answer
    x = 1,900.74

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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.