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Finding the Fourth Proportional to 1,789.64, 2,469.82 and 1,003.74

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Solution

The fourth proportional to 1,789.64, 2,469.82 and 1,003.74 is: 1,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.64 : 2,469.82 = 1,003.74 : x
  2. Step 2: Convert to fraction form
    1,789.64/2,469.82 = 1,003.74/x
  3. Step 3: Cross multiply
    1,789.64x = 2,469.82 × 1,003.74
  4. Step 4: Simplify right side
    1,789.64x = 2,479,057.13
  5. Step 5: Solve for x
    x = 2,479,057.13/1,789.64
  6. Step 6: Final answer
    x = 1,385.23

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