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Finding the Fourth Proportional to 2,019.75, 3,029.58 and 633.09

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Solution

The fourth proportional to 2,019.75, 3,029.58 and 633.09 is: 949.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.75 : 3,029.58 = 633.09 : x
  2. Step 2: Convert to fraction form
    2,019.75/3,029.58 = 633.09/x
  3. Step 3: Cross multiply
    2,019.75x = 3,029.58 × 633.09
  4. Step 4: Simplify right side
    2,019.75x = 1,917,996.80
  5. Step 5: Solve for x
    x = 1,917,996.80/2,019.75
  6. Step 6: Final answer
    x = 949.62

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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.