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Finding the Fourth Proportional to 2,809.40, 4,215.72 and 1,165.64

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Solution

The fourth proportional to 2,809.40, 4,215.72 and 1,165.64 is: 1,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.40 : 4,215.72 = 1,165.64 : x
  2. Step 2: Convert to fraction form
    2,809.40/4,215.72 = 1,165.64/x
  3. Step 3: Cross multiply
    2,809.40x = 4,215.72 × 1,165.64
  4. Step 4: Simplify right side
    2,809.40x = 4,914,011.86
  5. Step 5: Solve for x
    x = 4,914,011.86/2,809.40
  6. Step 6: Final answer
    x = 1,749.13

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