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Finding the Fourth Proportional to 2,274.57, 3,409.97 and 1,582.61

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Solution

The fourth proportional to 2,274.57, 3,409.97 and 1,582.61 is: 2,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.57 : 3,409.97 = 1,582.61 : x
  2. Step 2: Convert to fraction form
    2,274.57/3,409.97 = 1,582.61/x
  3. Step 3: Cross multiply
    2,274.57x = 3,409.97 × 1,582.61
  4. Step 4: Simplify right side
    2,274.57x = 5,396,627.66
  5. Step 5: Solve for x
    x = 5,396,627.66/2,274.57
  6. Step 6: Final answer
    x = 2,372.59

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