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Finding the Fourth Proportional to 2,229.25, 3,344.07 and 585.79

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Solution

The fourth proportional to 2,229.25, 3,344.07 and 585.79 is: 878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.25 : 3,344.07 = 585.79 : x
  2. Step 2: Convert to fraction form
    2,229.25/3,344.07 = 585.79/x
  3. Step 3: Cross multiply
    2,229.25x = 3,344.07 × 585.79
  4. Step 4: Simplify right side
    2,229.25x = 1,958,922.77
  5. Step 5: Solve for x
    x = 1,958,922.77/2,229.25
  6. Step 6: Final answer
    x = 878.74

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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.