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Finding the Fourth Proportional to 1,504.80, 2,257.16 and 1,463.78

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Solution

The fourth proportional to 1,504.80, 2,257.16 and 1,463.78 is: 2,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.80 : 2,257.16 = 1,463.78 : x
  2. Step 2: Convert to fraction form
    1,504.80/2,257.16 = 1,463.78/x
  3. Step 3: Cross multiply
    1,504.80x = 2,257.16 × 1,463.78
  4. Step 4: Simplify right side
    1,504.80x = 3,303,985.66
  5. Step 5: Solve for x
    x = 3,303,985.66/1,504.80
  6. Step 6: Final answer
    x = 2,195.63

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