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Finding the Fourth Proportional to 2,508.28, 3,764.86 and 1,536.28

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Solution

The fourth proportional to 2,508.28, 3,764.86 and 1,536.28 is: 2,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.28 : 3,764.86 = 1,536.28 : x
  2. Step 2: Convert to fraction form
    2,508.28/3,764.86 = 1,536.28/x
  3. Step 3: Cross multiply
    2,508.28x = 3,764.86 × 1,536.28
  4. Step 4: Simplify right side
    2,508.28x = 5,783,879.12
  5. Step 5: Solve for x
    x = 5,783,879.12/2,508.28
  6. Step 6: Final answer
    x = 2,305.91

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