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Finding the Fourth Proportional to 3,268.26, 4,902.49 and 803.07

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Solution

The fourth proportional to 3,268.26, 4,902.49 and 803.07 is: 1,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.26 : 4,902.49 = 803.07 : x
  2. Step 2: Convert to fraction form
    3,268.26/4,902.49 = 803.07/x
  3. Step 3: Cross multiply
    3,268.26x = 4,902.49 × 803.07
  4. Step 4: Simplify right side
    3,268.26x = 3,937,042.64
  5. Step 5: Solve for x
    x = 3,937,042.64/3,268.26
  6. Step 6: Final answer
    x = 1,204.63

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Why These Related Problems?

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