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Finding the Fourth Proportional to 1,982.55, 2,735.64 and 1,098.41

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Solution

The fourth proportional to 1,982.55, 2,735.64 and 1,098.41 is: 1,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.55 : 2,735.64 = 1,098.41 : x
  2. Step 2: Convert to fraction form
    1,982.55/2,735.64 = 1,098.41/x
  3. Step 3: Cross multiply
    1,982.55x = 2,735.64 × 1,098.41
  4. Step 4: Simplify right side
    1,982.55x = 3,004,840.65
  5. Step 5: Solve for x
    x = 3,004,840.65/1,982.55
  6. Step 6: Final answer
    x = 1,515.64

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