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Finding the Fourth Proportional to 2,044.54, 3,067.42 and 949.83

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Solution

The fourth proportional to 2,044.54, 3,067.42 and 949.83 is: 1,425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.54 : 3,067.42 = 949.83 : x
  2. Step 2: Convert to fraction form
    2,044.54/3,067.42 = 949.83/x
  3. Step 3: Cross multiply
    2,044.54x = 3,067.42 × 949.83
  4. Step 4: Simplify right side
    2,044.54x = 2,913,527.54
  5. Step 5: Solve for x
    x = 2,913,527.54/2,044.54
  6. Step 6: Final answer
    x = 1,425.03

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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.