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Finding the Fourth Proportional to 1,996.48, 2,987.82 and 1,582.12

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Solution

The fourth proportional to 1,996.48, 2,987.82 and 1,582.12 is: 2,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.48 : 2,987.82 = 1,582.12 : x
  2. Step 2: Convert to fraction form
    1,996.48/2,987.82 = 1,582.12/x
  3. Step 3: Cross multiply
    1,996.48x = 2,987.82 × 1,582.12
  4. Step 4: Simplify right side
    1,996.48x = 4,727,089.78
  5. Step 5: Solve for x
    x = 4,727,089.78/1,996.48
  6. Step 6: Final answer
    x = 2,367.71

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