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Finding the Fourth Proportional to 2,652.37, 3,978.72 and 803.47

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Solution

The fourth proportional to 2,652.37, 3,978.72 and 803.47 is: 1,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.37 : 3,978.72 = 803.47 : x
  2. Step 2: Convert to fraction form
    2,652.37/3,978.72 = 803.47/x
  3. Step 3: Cross multiply
    2,652.37x = 3,978.72 × 803.47
  4. Step 4: Simplify right side
    2,652.37x = 3,196,782.16
  5. Step 5: Solve for x
    x = 3,196,782.16/2,652.37
  6. Step 6: Final answer
    x = 1,205.25

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