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Finding the Fourth Proportional to 1,828.74, 2,743.38 and 733.89

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Solution

The fourth proportional to 1,828.74, 2,743.38 and 733.89 is: 1,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.74 : 2,743.38 = 733.89 : x
  2. Step 2: Convert to fraction form
    1,828.74/2,743.38 = 733.89/x
  3. Step 3: Cross multiply
    1,828.74x = 2,743.38 × 733.89
  4. Step 4: Simplify right side
    1,828.74x = 2,013,339.15
  5. Step 5: Solve for x
    x = 2,013,339.15/1,828.74
  6. Step 6: Final answer
    x = 1,100.94

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