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Finding the Fourth Proportional to 2,725.92, 4,088.64 and 1,165.44

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Solution

The fourth proportional to 2,725.92, 4,088.64 and 1,165.44 is: 1,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.92 : 4,088.64 = 1,165.44 : x
  2. Step 2: Convert to fraction form
    2,725.92/4,088.64 = 1,165.44/x
  3. Step 3: Cross multiply
    2,725.92x = 4,088.64 × 1,165.44
  4. Step 4: Simplify right side
    2,725.92x = 4,765,064.60
  5. Step 5: Solve for x
    x = 4,765,064.60/2,725.92
  6. Step 6: Final answer
    x = 1,748.06

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