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Finding the Fourth Proportional to 1,829.10, 2,743.83 and 596.46

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Solution

The fourth proportional to 1,829.10, 2,743.83 and 596.46 is: 894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.10 : 2,743.83 = 596.46 : x
  2. Step 2: Convert to fraction form
    1,829.10/2,743.83 = 596.46/x
  3. Step 3: Cross multiply
    1,829.10x = 2,743.83 × 596.46
  4. Step 4: Simplify right side
    1,829.10x = 1,636,584.84
  5. Step 5: Solve for x
    x = 1,636,584.84/1,829.10
  6. Step 6: Final answer
    x = 894.75

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