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Finding the Fourth Proportional to 2,552.94, 3,829.62 and 1,630.38

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Solution

The fourth proportional to 2,552.94, 3,829.62 and 1,630.38 is: 2,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.94 : 3,829.62 = 1,630.38 : x
  2. Step 2: Convert to fraction form
    2,552.94/3,829.62 = 1,630.38/x
  3. Step 3: Cross multiply
    2,552.94x = 3,829.62 × 1,630.38
  4. Step 4: Simplify right side
    2,552.94x = 6,243,735.86
  5. Step 5: Solve for x
    x = 6,243,735.86/2,552.94
  6. Step 6: Final answer
    x = 2,445.70

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