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Finding the Fourth Proportional to 2,582.86, 3,869.74 and 2,119.95

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Solution

The fourth proportional to 2,582.86, 3,869.74 and 2,119.95 is: 3,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.86 : 3,869.74 = 2,119.95 : x
  2. Step 2: Convert to fraction form
    2,582.86/3,869.74 = 2,119.95/x
  3. Step 3: Cross multiply
    2,582.86x = 3,869.74 × 2,119.95
  4. Step 4: Simplify right side
    2,582.86x = 8,203,655.31
  5. Step 5: Solve for x
    x = 8,203,655.31/2,582.86
  6. Step 6: Final answer
    x = 3,176.19

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