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Finding the Fourth Proportional to 3,286.68, 4,927.44 and 1,642.40

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Solution

The fourth proportional to 3,286.68, 4,927.44 and 1,642.40 is: 2,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.68 : 4,927.44 = 1,642.40 : x
  2. Step 2: Convert to fraction form
    3,286.68/4,927.44 = 1,642.40/x
  3. Step 3: Cross multiply
    3,286.68x = 4,927.44 × 1,642.40
  4. Step 4: Simplify right side
    3,286.68x = 8,092,827.46
  5. Step 5: Solve for x
    x = 8,092,827.46/3,286.68
  6. Step 6: Final answer
    x = 2,462.31

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