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Finding the Fourth Proportional to 2,506.86, 3,761.57 and 1,027.16

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Solution

The fourth proportional to 2,506.86, 3,761.57 and 1,027.16 is: 1,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.86 : 3,761.57 = 1,027.16 : x
  2. Step 2: Convert to fraction form
    2,506.86/3,761.57 = 1,027.16/x
  3. Step 3: Cross multiply
    2,506.86x = 3,761.57 × 1,027.16
  4. Step 4: Simplify right side
    2,506.86x = 3,863,734.24
  5. Step 5: Solve for x
    x = 3,863,734.24/2,506.86
  6. Step 6: Final answer
    x = 1,541.26

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