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Finding the Fourth Proportional to 1,467.62, 2,201.75 and 493.69

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Solution

The fourth proportional to 1,467.62, 2,201.75 and 493.69 is: 740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.62 : 2,201.75 = 493.69 : x
  2. Step 2: Convert to fraction form
    1,467.62/2,201.75 = 493.69/x
  3. Step 3: Cross multiply
    1,467.62x = 2,201.75 × 493.69
  4. Step 4: Simplify right side
    1,467.62x = 1,086,977.69
  5. Step 5: Solve for x
    x = 1,086,977.69/1,467.62
  6. Step 6: Final answer
    x = 740.64

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