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Finding the Fourth Proportional to 1,268.54, 1,902.08 and 1,007.77

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Solution

The fourth proportional to 1,268.54, 1,902.08 and 1,007.77 is: 1,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.54 : 1,902.08 = 1,007.77 : x
  2. Step 2: Convert to fraction form
    1,268.54/1,902.08 = 1,007.77/x
  3. Step 3: Cross multiply
    1,268.54x = 1,902.08 × 1,007.77
  4. Step 4: Simplify right side
    1,268.54x = 1,916,855.14
  5. Step 5: Solve for x
    x = 1,916,855.14/1,268.54
  6. Step 6: Final answer
    x = 1,511.08

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