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Finding the Fourth Proportional to 2,019.50, 3,029.25 and 538.73

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Solution

The fourth proportional to 2,019.50, 3,029.25 and 538.73 is: 808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.50 : 3,029.25 = 538.73 : x
  2. Step 2: Convert to fraction form
    2,019.50/3,029.25 = 538.73/x
  3. Step 3: Cross multiply
    2,019.50x = 3,029.25 × 538.73
  4. Step 4: Simplify right side
    2,019.50x = 1,631,936.49
  5. Step 5: Solve for x
    x = 1,631,936.49/2,019.50
  6. Step 6: Final answer
    x = 808.09

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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.