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Finding the Fourth Proportional to 1,640.78, 2,462.00 and 601.05

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Solution

The fourth proportional to 1,640.78, 2,462.00 and 601.05 is: 901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.78 : 2,462.00 = 601.05 : x
  2. Step 2: Convert to fraction form
    1,640.78/2,462.00 = 601.05/x
  3. Step 3: Cross multiply
    1,640.78x = 2,462.00 × 601.05
  4. Step 4: Simplify right side
    1,640.78x = 1,479,782.09
  5. Step 5: Solve for x
    x = 1,479,782.09/1,640.78
  6. Step 6: Final answer
    x = 901.88

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