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Finding the Fourth Proportional to 1,694.81, 2,542.68 and 1,046.00

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Solution

The fourth proportional to 1,694.81, 2,542.68 and 1,046.00 is: 1,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.81 : 2,542.68 = 1,046.00 : x
  2. Step 2: Convert to fraction form
    1,694.81/2,542.68 = 1,046.00/x
  3. Step 3: Cross multiply
    1,694.81x = 2,542.68 × 1,046.00
  4. Step 4: Simplify right side
    1,694.81x = 2,659,630.57
  5. Step 5: Solve for x
    x = 2,659,630.57/1,694.81
  6. Step 6: Final answer
    x = 1,569.28

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