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Finding the Fourth Proportional to 2,824.90, 4,238.97 and 1,527.82

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Solution

The fourth proportional to 2,824.90, 4,238.97 and 1,527.82 is: 2,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.90 : 4,238.97 = 1,527.82 : x
  2. Step 2: Convert to fraction form
    2,824.90/4,238.97 = 1,527.82/x
  3. Step 3: Cross multiply
    2,824.90x = 4,238.97 × 1,527.82
  4. Step 4: Simplify right side
    2,824.90x = 6,476,383.15
  5. Step 5: Solve for x
    x = 6,476,383.15/2,824.90
  6. Step 6: Final answer
    x = 2,292.61

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