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Finding the Fourth Proportional to 1,512.82, 2,268.87 and 1,438.75

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Solution

The fourth proportional to 1,512.82, 2,268.87 and 1,438.75 is: 2,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.82 : 2,268.87 = 1,438.75 : x
  2. Step 2: Convert to fraction form
    1,512.82/2,268.87 = 1,438.75/x
  3. Step 3: Cross multiply
    1,512.82x = 2,268.87 × 1,438.75
  4. Step 4: Simplify right side
    1,512.82x = 3,264,336.71
  5. Step 5: Solve for x
    x = 3,264,336.71/1,512.82
  6. Step 6: Final answer
    x = 2,157.78

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