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Finding the Fourth Proportional to 1,776.25, 2,664.38 and 1,202.77

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Solution

The fourth proportional to 1,776.25, 2,664.38 and 1,202.77 is: 1,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.25 : 2,664.38 = 1,202.77 : x
  2. Step 2: Convert to fraction form
    1,776.25/2,664.38 = 1,202.77/x
  3. Step 3: Cross multiply
    1,776.25x = 2,664.38 × 1,202.77
  4. Step 4: Simplify right side
    1,776.25x = 3,204,636.33
  5. Step 5: Solve for x
    x = 3,204,636.33/1,776.25
  6. Step 6: Final answer
    x = 1,804.16

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