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Finding the Fourth Proportional to 2,044.83, 3,067.70 and 584.09

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Solution

The fourth proportional to 2,044.83, 3,067.70 and 584.09 is: 876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.83 : 3,067.70 = 584.09 : x
  2. Step 2: Convert to fraction form
    2,044.83/3,067.70 = 584.09/x
  3. Step 3: Cross multiply
    2,044.83x = 3,067.70 × 584.09
  4. Step 4: Simplify right side
    2,044.83x = 1,791,817.64
  5. Step 5: Solve for x
    x = 1,791,817.64/2,044.83
  6. Step 6: Final answer
    x = 876.27

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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.