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Finding the Fourth Proportional to 2,896.75, 4,345.35 and 1,165.39

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Solution

The fourth proportional to 2,896.75, 4,345.35 and 1,165.39 is: 1,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.75 : 4,345.35 = 1,165.39 : x
  2. Step 2: Convert to fraction form
    2,896.75/4,345.35 = 1,165.39/x
  3. Step 3: Cross multiply
    2,896.75x = 4,345.35 × 1,165.39
  4. Step 4: Simplify right side
    2,896.75x = 5,064,027.44
  5. Step 5: Solve for x
    x = 5,064,027.44/2,896.75
  6. Step 6: Final answer
    x = 1,748.18

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