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Finding the Fourth Proportional to 2,212.29, 3,318.17 and 568.71

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Solution

The fourth proportional to 2,212.29, 3,318.17 and 568.71 is: 852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.29 : 3,318.17 = 568.71 : x
  2. Step 2: Convert to fraction form
    2,212.29/3,318.17 = 568.71/x
  3. Step 3: Cross multiply
    2,212.29x = 3,318.17 × 568.71
  4. Step 4: Simplify right side
    2,212.29x = 1,887,063.85
  5. Step 5: Solve for x
    x = 1,887,063.85/2,212.29
  6. Step 6: Final answer
    x = 852.99

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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.