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Finding the Fourth Proportional to 2,043.44, 3,065.26 and 582.80

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Solution

The fourth proportional to 2,043.44, 3,065.26 and 582.80 is: 874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.44 : 3,065.26 = 582.80 : x
  2. Step 2: Convert to fraction form
    2,043.44/3,065.26 = 582.80/x
  3. Step 3: Cross multiply
    2,043.44x = 3,065.26 × 582.80
  4. Step 4: Simplify right side
    2,043.44x = 1,786,439.73
  5. Step 5: Solve for x
    x = 1,786,439.73/2,043.44
  6. Step 6: Final answer
    x = 874.23

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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.