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Finding the Fourth Proportional to 2,583.03, 3,872.70 and 1,540.56

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Solution

The fourth proportional to 2,583.03, 3,872.70 and 1,540.56 is: 2,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.03 : 3,872.70 = 1,540.56 : x
  2. Step 2: Convert to fraction form
    2,583.03/3,872.70 = 1,540.56/x
  3. Step 3: Cross multiply
    2,583.03x = 3,872.70 × 1,540.56
  4. Step 4: Simplify right side
    2,583.03x = 5,966,126.71
  5. Step 5: Solve for x
    x = 5,966,126.71/2,583.03
  6. Step 6: Final answer
    x = 2,309.74

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