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Finding the Fourth Proportional to 2,212.92, 3,319.43 and 569.47

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Solution

The fourth proportional to 2,212.92, 3,319.43 and 569.47 is: 854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.92 : 3,319.43 = 569.47 : x
  2. Step 2: Convert to fraction form
    2,212.92/3,319.43 = 569.47/x
  3. Step 3: Cross multiply
    2,212.92x = 3,319.43 × 569.47
  4. Step 4: Simplify right side
    2,212.92x = 1,890,315.80
  5. Step 5: Solve for x
    x = 1,890,315.80/2,212.92
  6. Step 6: Final answer
    x = 854.22

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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.