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Finding the Fourth Proportional to 2,552.07, 3,820.14 and 1,965.55

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Solution

The fourth proportional to 2,552.07, 3,820.14 and 1,965.55 is: 2,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.07 : 3,820.14 = 1,965.55 : x
  2. Step 2: Convert to fraction form
    2,552.07/3,820.14 = 1,965.55/x
  3. Step 3: Cross multiply
    2,552.07x = 3,820.14 × 1,965.55
  4. Step 4: Simplify right side
    2,552.07x = 7,508,676.18
  5. Step 5: Solve for x
    x = 7,508,676.18/2,552.07
  6. Step 6: Final answer
    x = 2,942.19

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