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Finding the Fourth Proportional to 1,216.36, 1,823.58 and 1,084.84

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Solution

The fourth proportional to 1,216.36, 1,823.58 and 1,084.84 is: 1,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.36 : 1,823.58 = 1,084.84 : x
  2. Step 2: Convert to fraction form
    1,216.36/1,823.58 = 1,084.84/x
  3. Step 3: Cross multiply
    1,216.36x = 1,823.58 × 1,084.84
  4. Step 4: Simplify right side
    1,216.36x = 1,978,292.53
  5. Step 5: Solve for x
    x = 1,978,292.53/1,216.36
  6. Step 6: Final answer
    x = 1,626.40

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