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Finding the Fourth Proportional to 1,866.24, 2,809.08 and 1,584.36

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Solution

The fourth proportional to 1,866.24, 2,809.08 and 1,584.36 is: 2,384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.24 : 2,809.08 = 1,584.36 : x
  2. Step 2: Convert to fraction form
    1,866.24/2,809.08 = 1,584.36/x
  3. Step 3: Cross multiply
    1,866.24x = 2,809.08 × 1,584.36
  4. Step 4: Simplify right side
    1,866.24x = 4,450,593.99
  5. Step 5: Solve for x
    x = 4,450,593.99/1,866.24
  6. Step 6: Final answer
    x = 2,384.79

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