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Finding the Fourth Proportional to 1,664.82, 2,297.46 and 918.78

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Solution

The fourth proportional to 1,664.82, 2,297.46 and 918.78 is: 1,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.82 : 2,297.46 = 918.78 : x
  2. Step 2: Convert to fraction form
    1,664.82/2,297.46 = 918.78/x
  3. Step 3: Cross multiply
    1,664.82x = 2,297.46 × 918.78
  4. Step 4: Simplify right side
    1,664.82x = 2,110,852.55
  5. Step 5: Solve for x
    x = 2,110,852.55/1,664.82
  6. Step 6: Final answer
    x = 1,267.92

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