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Finding the Fourth Proportional to 2,583.74, 3,874.76 and 1,397.56

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Solution

The fourth proportional to 2,583.74, 3,874.76 and 1,397.56 is: 2,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.74 : 3,874.76 = 1,397.56 : x
  2. Step 2: Convert to fraction form
    2,583.74/3,874.76 = 1,397.56/x
  3. Step 3: Cross multiply
    2,583.74x = 3,874.76 × 1,397.56
  4. Step 4: Simplify right side
    2,583.74x = 5,415,209.59
  5. Step 5: Solve for x
    x = 5,415,209.59/2,583.74
  6. Step 6: Final answer
    x = 2,095.88

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