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Finding the Fourth Proportional to 3,211.80, 4,817.70 and 1,829.40

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Solution

The fourth proportional to 3,211.80, 4,817.70 and 1,829.40 is: 2,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.80 : 4,817.70 = 1,829.40 : x
  2. Step 2: Convert to fraction form
    3,211.80/4,817.70 = 1,829.40/x
  3. Step 3: Cross multiply
    3,211.80x = 4,817.70 × 1,829.40
  4. Step 4: Simplify right side
    3,211.80x = 8,813,500.38
  5. Step 5: Solve for x
    x = 8,813,500.38/3,211.80
  6. Step 6: Final answer
    x = 2,744.10

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