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Finding the Fourth Proportional to 2,552.94, 3,835.80 and 1,628.91

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Solution

The fourth proportional to 2,552.94, 3,835.80 and 1,628.91 is: 2,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.94 : 3,835.80 = 1,628.91 : x
  2. Step 2: Convert to fraction form
    2,552.94/3,835.80 = 1,628.91/x
  3. Step 3: Cross multiply
    2,552.94x = 3,835.80 × 1,628.91
  4. Step 4: Simplify right side
    2,552.94x = 6,248,172.98
  5. Step 5: Solve for x
    x = 6,248,172.98/2,552.94
  6. Step 6: Final answer
    x = 2,447.44

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