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Finding the Fourth Proportional to 3,268.91, 4,903.38 and 803.73

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Solution

The fourth proportional to 3,268.91, 4,903.38 and 803.73 is: 1,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.91 : 4,903.38 = 803.73 : x
  2. Step 2: Convert to fraction form
    3,268.91/4,903.38 = 803.73/x
  3. Step 3: Cross multiply
    3,268.91x = 4,903.38 × 803.73
  4. Step 4: Simplify right side
    3,268.91x = 3,940,993.61
  5. Step 5: Solve for x
    x = 3,940,993.61/3,268.91
  6. Step 6: Final answer
    x = 1,205.60

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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.