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Finding the Fourth Proportional to 2,149.82, 3,225.26 and 610.82

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Solution

The fourth proportional to 2,149.82, 3,225.26 and 610.82 is: 916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.82 : 3,225.26 = 610.82 : x
  2. Step 2: Convert to fraction form
    2,149.82/3,225.26 = 610.82/x
  3. Step 3: Cross multiply
    2,149.82x = 3,225.26 × 610.82
  4. Step 4: Simplify right side
    2,149.82x = 1,970,053.31
  5. Step 5: Solve for x
    x = 1,970,053.31/2,149.82
  6. Step 6: Final answer
    x = 916.38

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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.