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Finding the Fourth Proportional to 1,471.73, 2,218.17 and 1,268.75

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Solution

The fourth proportional to 1,471.73, 2,218.17 and 1,268.75 is: 1,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.73 : 2,218.17 = 1,268.75 : x
  2. Step 2: Convert to fraction form
    1,471.73/2,218.17 = 1,268.75/x
  3. Step 3: Cross multiply
    1,471.73x = 2,218.17 × 1,268.75
  4. Step 4: Simplify right side
    1,471.73x = 2,814,292.10
  5. Step 5: Solve for x
    x = 2,814,292.10/1,471.73
  6. Step 6: Final answer
    x = 1,912.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.