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Finding the Fourth Proportional to 1,982.54, 2,967.65 and 1,463.13

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Solution

The fourth proportional to 1,982.54, 2,967.65 and 1,463.13 is: 2,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.54 : 2,967.65 = 1,463.13 : x
  2. Step 2: Convert to fraction form
    1,982.54/2,967.65 = 1,463.13/x
  3. Step 3: Cross multiply
    1,982.54x = 2,967.65 × 1,463.13
  4. Step 4: Simplify right side
    1,982.54x = 4,342,061.40
  5. Step 5: Solve for x
    x = 4,342,061.40/1,982.54
  6. Step 6: Final answer
    x = 2,190.15

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