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Finding the Fourth Proportional to 2,212.82, 3,319.22 and 569.23

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Solution

The fourth proportional to 2,212.82, 3,319.22 and 569.23 is: 853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.82 : 3,319.22 = 569.23 : x
  2. Step 2: Convert to fraction form
    2,212.82/3,319.22 = 569.23/x
  3. Step 3: Cross multiply
    2,212.82x = 3,319.22 × 569.23
  4. Step 4: Simplify right side
    2,212.82x = 1,889,392.73
  5. Step 5: Solve for x
    x = 1,889,392.73/2,212.82
  6. Step 6: Final answer
    x = 853.84

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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.