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Finding the Fourth Proportional to 2,268.41, 3,400.18 and 951.82

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Solution

The fourth proportional to 2,268.41, 3,400.18 and 951.82 is: 1,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.41 : 3,400.18 = 951.82 : x
  2. Step 2: Convert to fraction form
    2,268.41/3,400.18 = 951.82/x
  3. Step 3: Cross multiply
    2,268.41x = 3,400.18 × 951.82
  4. Step 4: Simplify right side
    2,268.41x = 3,236,348.45
  5. Step 5: Solve for x
    x = 3,236,348.45/2,268.41
  6. Step 6: Final answer
    x = 1,426.71

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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.