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Finding the Fourth Proportional to 2,467.76, 3,704.20 and 1,007.88

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Solution

The fourth proportional to 2,467.76, 3,704.20 and 1,007.88 is: 1,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.76 : 3,704.20 = 1,007.88 : x
  2. Step 2: Convert to fraction form
    2,467.76/3,704.20 = 1,007.88/x
  3. Step 3: Cross multiply
    2,467.76x = 3,704.20 × 1,007.88
  4. Step 4: Simplify right side
    2,467.76x = 3,733,389.10
  5. Step 5: Solve for x
    x = 3,733,389.10/2,467.76
  6. Step 6: Final answer
    x = 1,512.87

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