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Finding the Fourth Proportional to 2,652.29, 3,978.64 and 803.56

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Solution

The fourth proportional to 2,652.29, 3,978.64 and 803.56 is: 1,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.29 : 3,978.64 = 803.56 : x
  2. Step 2: Convert to fraction form
    2,652.29/3,978.64 = 803.56/x
  3. Step 3: Cross multiply
    2,652.29x = 3,978.64 × 803.56
  4. Step 4: Simplify right side
    2,652.29x = 3,197,087.93
  5. Step 5: Solve for x
    x = 3,197,087.93/2,652.29
  6. Step 6: Final answer
    x = 1,205.40

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