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Finding the Fourth Proportional to 2,552.61, 3,822.88 and 2,023.82

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Solution

The fourth proportional to 2,552.61, 3,822.88 and 2,023.82 is: 3,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.61 : 3,822.88 = 2,023.82 : x
  2. Step 2: Convert to fraction form
    2,552.61/3,822.88 = 2,023.82/x
  3. Step 3: Cross multiply
    2,552.61x = 3,822.88 × 2,023.82
  4. Step 4: Simplify right side
    2,552.61x = 7,736,814.96
  5. Step 5: Solve for x
    x = 7,736,814.96/2,552.61
  6. Step 6: Final answer
    x = 3,030.94

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