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Finding the Fourth Proportional to 3,268.24, 4,902.36 and 803.04

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Solution

The fourth proportional to 3,268.24, 4,902.36 and 803.04 is: 1,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.24 : 4,902.36 = 803.04 : x
  2. Step 2: Convert to fraction form
    3,268.24/4,902.36 = 803.04/x
  3. Step 3: Cross multiply
    3,268.24x = 4,902.36 × 803.04
  4. Step 4: Simplify right side
    3,268.24x = 3,936,791.17
  5. Step 5: Solve for x
    x = 3,936,791.17/3,268.24
  6. Step 6: Final answer
    x = 1,204.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.