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Finding the Fourth Proportional to 2,627.46, 3,942.52 and 1,457.25

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Solution

The fourth proportional to 2,627.46, 3,942.52 and 1,457.25 is: 2,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.46 : 3,942.52 = 1,457.25 : x
  2. Step 2: Convert to fraction form
    2,627.46/3,942.52 = 1,457.25/x
  3. Step 3: Cross multiply
    2,627.46x = 3,942.52 × 1,457.25
  4. Step 4: Simplify right side
    2,627.46x = 5,745,237.27
  5. Step 5: Solve for x
    x = 5,745,237.27/2,627.46
  6. Step 6: Final answer
    x = 2,186.61

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