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Finding the Fourth Proportional to 1,221.80, 1,827.90 and 1,106.60

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Solution

The fourth proportional to 1,221.80, 1,827.90 and 1,106.60 is: 1,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.80 : 1,827.90 = 1,106.60 : x
  2. Step 2: Convert to fraction form
    1,221.80/1,827.90 = 1,106.60/x
  3. Step 3: Cross multiply
    1,221.80x = 1,827.90 × 1,106.60
  4. Step 4: Simplify right side
    1,221.80x = 2,022,754.14
  5. Step 5: Solve for x
    x = 2,022,754.14/1,221.80
  6. Step 6: Final answer
    x = 1,655.55

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