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Finding the Fourth Proportional to 2,580.86, 3,871.42 and 1,541.36

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Solution

The fourth proportional to 2,580.86, 3,871.42 and 1,541.36 is: 2,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.86 : 3,871.42 = 1,541.36 : x
  2. Step 2: Convert to fraction form
    2,580.86/3,871.42 = 1,541.36/x
  3. Step 3: Cross multiply
    2,580.86x = 3,871.42 × 1,541.36
  4. Step 4: Simplify right side
    2,580.86x = 5,967,251.93
  5. Step 5: Solve for x
    x = 5,967,251.93/2,580.86
  6. Step 6: Final answer
    x = 2,312.12

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