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Finding the Fourth Proportional to 1,799.43, 2,698.23 and 824.69

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Solution

The fourth proportional to 1,799.43, 2,698.23 and 824.69 is: 1,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.43 : 2,698.23 = 824.69 : x
  2. Step 2: Convert to fraction form
    1,799.43/2,698.23 = 824.69/x
  3. Step 3: Cross multiply
    1,799.43x = 2,698.23 × 824.69
  4. Step 4: Simplify right side
    1,799.43x = 2,225,193.46
  5. Step 5: Solve for x
    x = 2,225,193.46/1,799.43
  6. Step 6: Final answer
    x = 1,236.61

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