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Finding the Fourth Proportional to 3,266.73, 4,899.94 and 801.42

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Solution

The fourth proportional to 3,266.73, 4,899.94 and 801.42 is: 1,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.73 : 4,899.94 = 801.42 : x
  2. Step 2: Convert to fraction form
    3,266.73/4,899.94 = 801.42/x
  3. Step 3: Cross multiply
    3,266.73x = 4,899.94 × 801.42
  4. Step 4: Simplify right side
    3,266.73x = 3,926,909.91
  5. Step 5: Solve for x
    x = 3,926,909.91/3,266.73
  6. Step 6: Final answer
    x = 1,202.09

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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.