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Finding the Fourth Proportional to 2,552.76, 3,830.44 and 1,165.92

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Solution

The fourth proportional to 2,552.76, 3,830.44 and 1,165.92 is: 1,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.76 : 3,830.44 = 1,165.92 : x
  2. Step 2: Convert to fraction form
    2,552.76/3,830.44 = 1,165.92/x
  3. Step 3: Cross multiply
    2,552.76x = 3,830.44 × 1,165.92
  4. Step 4: Simplify right side
    2,552.76x = 4,465,986.60
  5. Step 5: Solve for x
    x = 4,465,986.60/2,552.76
  6. Step 6: Final answer
    x = 1,749.47

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