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Finding the Fourth Proportional to 1,640.22, 2,462.01 and 1,278.96

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Solution

The fourth proportional to 1,640.22, 2,462.01 and 1,278.96 is: 1,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.22 : 2,462.01 = 1,278.96 : x
  2. Step 2: Convert to fraction form
    1,640.22/2,462.01 = 1,278.96/x
  3. Step 3: Cross multiply
    1,640.22x = 2,462.01 × 1,278.96
  4. Step 4: Simplify right side
    1,640.22x = 3,148,812.31
  5. Step 5: Solve for x
    x = 3,148,812.31/1,640.22
  6. Step 6: Final answer
    x = 1,919.75

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