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Finding the Fourth Proportional to 2,627.64, 3,942.36 and 1,167.84

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Solution

The fourth proportional to 2,627.64, 3,942.36 and 1,167.84 is: 1,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.64 : 3,942.36 = 1,167.84 : x
  2. Step 2: Convert to fraction form
    2,627.64/3,942.36 = 1,167.84/x
  3. Step 3: Cross multiply
    2,627.64x = 3,942.36 × 1,167.84
  4. Step 4: Simplify right side
    2,627.64x = 4,604,045.70
  5. Step 5: Solve for x
    x = 4,604,045.70/2,627.64
  6. Step 6: Final answer
    x = 1,752.16

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