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Finding the Fourth Proportional to 1,578.28, 2,361.64 and 1,493.78

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Solution

The fourth proportional to 1,578.28, 2,361.64 and 1,493.78 is: 2,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.28 : 2,361.64 = 1,493.78 : x
  2. Step 2: Convert to fraction form
    1,578.28/2,361.64 = 1,493.78/x
  3. Step 3: Cross multiply
    1,578.28x = 2,361.64 × 1,493.78
  4. Step 4: Simplify right side
    1,578.28x = 3,527,770.60
  5. Step 5: Solve for x
    x = 3,527,770.60/1,578.28
  6. Step 6: Final answer
    x = 2,235.20

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