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Finding the Fourth Proportional to 2,229.27, 3,343.65 and 585.98

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Solution

The fourth proportional to 2,229.27, 3,343.65 and 585.98 is: 878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.27 : 3,343.65 = 585.98 : x
  2. Step 2: Convert to fraction form
    2,229.27/3,343.65 = 585.98/x
  3. Step 3: Cross multiply
    2,229.27x = 3,343.65 × 585.98
  4. Step 4: Simplify right side
    2,229.27x = 1,959,320.39
  5. Step 5: Solve for x
    x = 1,959,320.39/2,229.27
  6. Step 6: Final answer
    x = 878.91

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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.