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Finding the Fourth Proportional to 1,566.80, 2,344.73 and 1,238.75

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Solution

The fourth proportional to 1,566.80, 2,344.73 and 1,238.75 is: 1,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.80 : 2,344.73 = 1,238.75 : x
  2. Step 2: Convert to fraction form
    1,566.80/2,344.73 = 1,238.75/x
  3. Step 3: Cross multiply
    1,566.80x = 2,344.73 × 1,238.75
  4. Step 4: Simplify right side
    1,566.80x = 2,904,534.29
  5. Step 5: Solve for x
    x = 2,904,534.29/1,566.80
  6. Step 6: Final answer
    x = 1,853.80

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