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Finding the Fourth Proportional to 2,700.82, 3,727.37 and 1,582.14

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Solution

The fourth proportional to 2,700.82, 3,727.37 and 1,582.14 is: 2,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.82 : 3,727.37 = 1,582.14 : x
  2. Step 2: Convert to fraction form
    2,700.82/3,727.37 = 1,582.14/x
  3. Step 3: Cross multiply
    2,700.82x = 3,727.37 × 1,582.14
  4. Step 4: Simplify right side
    2,700.82x = 5,897,225.13
  5. Step 5: Solve for x
    x = 5,897,225.13/2,700.82
  6. Step 6: Final answer
    x = 2,183.50

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