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Finding the Fourth Proportional to 1,648.83, 2,468.39 and 1,099.65

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Solution

The fourth proportional to 1,648.83, 2,468.39 and 1,099.65 is: 1,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.83 : 2,468.39 = 1,099.65 : x
  2. Step 2: Convert to fraction form
    1,648.83/2,468.39 = 1,099.65/x
  3. Step 3: Cross multiply
    1,648.83x = 2,468.39 × 1,099.65
  4. Step 4: Simplify right side
    1,648.83x = 2,714,359.57
  5. Step 5: Solve for x
    x = 2,714,359.57/1,648.83
  6. Step 6: Final answer
    x = 1,646.23

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