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Finding the Fourth Proportional to 2,512.86, 3,766.41 and 2,282.46

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Solution

The fourth proportional to 2,512.86, 3,766.41 and 2,282.46 is: 3,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.86 : 3,766.41 = 2,282.46 : x
  2. Step 2: Convert to fraction form
    2,512.86/3,766.41 = 2,282.46/x
  3. Step 3: Cross multiply
    2,512.86x = 3,766.41 × 2,282.46
  4. Step 4: Simplify right side
    2,512.86x = 8,596,680.17
  5. Step 5: Solve for x
    x = 8,596,680.17/2,512.86
  6. Step 6: Final answer
    x = 3,421.07

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