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Finding the Fourth Proportional to 2,204.04, 3,302.46 and 1,978.20

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Solution

The fourth proportional to 2,204.04, 3,302.46 and 1,978.20 is: 2,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.04 : 3,302.46 = 1,978.20 : x
  2. Step 2: Convert to fraction form
    2,204.04/3,302.46 = 1,978.20/x
  3. Step 3: Cross multiply
    2,204.04x = 3,302.46 × 1,978.20
  4. Step 4: Simplify right side
    2,204.04x = 6,532,926.37
  5. Step 5: Solve for x
    x = 6,532,926.37/2,204.04
  6. Step 6: Final answer
    x = 2,964.07

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