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Finding the Fourth Proportional to 1,786.73, 2,467.68 and 1,509.30

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Solution

The fourth proportional to 1,786.73, 2,467.68 and 1,509.30 is: 2,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.73 : 2,467.68 = 1,509.30 : x
  2. Step 2: Convert to fraction form
    1,786.73/2,467.68 = 1,509.30/x
  3. Step 3: Cross multiply
    1,786.73x = 2,467.68 × 1,509.30
  4. Step 4: Simplify right side
    1,786.73x = 3,724,469.42
  5. Step 5: Solve for x
    x = 3,724,469.42/1,786.73
  6. Step 6: Final answer
    x = 2,084.52

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