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Finding the Fourth Proportional to 2,982.75, 4,116.20 and 1,740.75

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Solution

The fourth proportional to 2,982.75, 4,116.20 and 1,740.75 is: 2,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.75 : 4,116.20 = 1,740.75 : x
  2. Step 2: Convert to fraction form
    2,982.75/4,116.20 = 1,740.75/x
  3. Step 3: Cross multiply
    2,982.75x = 4,116.20 × 1,740.75
  4. Step 4: Simplify right side
    2,982.75x = 7,165,266.45
  5. Step 5: Solve for x
    x = 7,165,266.45/2,982.75
  6. Step 6: Final answer
    x = 2,402.24

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