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Finding the Fourth Proportional to 2,537.91, 3,807.90 and 1,305.77

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Solution

The fourth proportional to 2,537.91, 3,807.90 and 1,305.77 is: 1,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.91 : 3,807.90 = 1,305.77 : x
  2. Step 2: Convert to fraction form
    2,537.91/3,807.90 = 1,305.77/x
  3. Step 3: Cross multiply
    2,537.91x = 3,807.90 × 1,305.77
  4. Step 4: Simplify right side
    2,537.91x = 4,972,222.54
  5. Step 5: Solve for x
    x = 4,972,222.54/2,537.91
  6. Step 6: Final answer
    x = 1,959.18

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