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Finding the Fourth Proportional to 1,266.12, 1,895.94 and 1,005.60

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Solution

The fourth proportional to 1,266.12, 1,895.94 and 1,005.60 is: 1,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.12 : 1,895.94 = 1,005.60 : x
  2. Step 2: Convert to fraction form
    1,266.12/1,895.94 = 1,005.60/x
  3. Step 3: Cross multiply
    1,266.12x = 1,895.94 × 1,005.60
  4. Step 4: Simplify right side
    1,266.12x = 1,906,557.26
  5. Step 5: Solve for x
    x = 1,906,557.26/1,266.12
  6. Step 6: Final answer
    x = 1,505.83

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