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Finding the Fourth Proportional to 2,687.28, 4,024.76 and 2,416.64

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Solution

The fourth proportional to 2,687.28, 4,024.76 and 2,416.64 is: 3,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.28 : 4,024.76 = 2,416.64 : x
  2. Step 2: Convert to fraction form
    2,687.28/4,024.76 = 2,416.64/x
  3. Step 3: Cross multiply
    2,687.28x = 4,024.76 × 2,416.64
  4. Step 4: Simplify right side
    2,687.28x = 9,726,384.19
  5. Step 5: Solve for x
    x = 9,726,384.19/2,687.28
  6. Step 6: Final answer
    x = 3,619.42

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