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Finding the Fourth Proportional to 1,584.50, 2,186.80 and 1,318.48

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Solution

The fourth proportional to 1,584.50, 2,186.80 and 1,318.48 is: 1,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.50 : 2,186.80 = 1,318.48 : x
  2. Step 2: Convert to fraction form
    1,584.50/2,186.80 = 1,318.48/x
  3. Step 3: Cross multiply
    1,584.50x = 2,186.80 × 1,318.48
  4. Step 4: Simplify right side
    1,584.50x = 2,883,243.30
  5. Step 5: Solve for x
    x = 2,883,243.30/1,584.50
  6. Step 6: Final answer
    x = 1,819.65

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