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Finding the Fourth Proportional to 2,468.28, 3,699.24 and 1,166.88

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Solution

The fourth proportional to 2,468.28, 3,699.24 and 1,166.88 is: 1,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.28 : 3,699.24 = 1,166.88 : x
  2. Step 2: Convert to fraction form
    2,468.28/3,699.24 = 1,166.88/x
  3. Step 3: Cross multiply
    2,468.28x = 3,699.24 × 1,166.88
  4. Step 4: Simplify right side
    2,468.28x = 4,316,569.17
  5. Step 5: Solve for x
    x = 4,316,569.17/2,468.28
  6. Step 6: Final answer
    x = 1,748.82

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