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Finding the Fourth Proportional to 3,002.02, 4,142.82 and 1,743.18

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Solution

The fourth proportional to 3,002.02, 4,142.82 and 1,743.18 is: 2,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.02 : 4,142.82 = 1,743.18 : x
  2. Step 2: Convert to fraction form
    3,002.02/4,142.82 = 1,743.18/x
  3. Step 3: Cross multiply
    3,002.02x = 4,142.82 × 1,743.18
  4. Step 4: Simplify right side
    3,002.02x = 7,221,680.97
  5. Step 5: Solve for x
    x = 7,221,680.97/3,002.02
  6. Step 6: Final answer
    x = 2,405.61

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