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Finding the Fourth Proportional to 1,997.44, 2,996.17 and 610.71

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Solution

The fourth proportional to 1,997.44, 2,996.17 and 610.71 is: 916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.44 : 2,996.17 = 610.71 : x
  2. Step 2: Convert to fraction form
    1,997.44/2,996.17 = 610.71/x
  3. Step 3: Cross multiply
    1,997.44x = 2,996.17 × 610.71
  4. Step 4: Simplify right side
    1,997.44x = 1,829,790.98
  5. Step 5: Solve for x
    x = 1,829,790.98/1,997.44
  6. Step 6: Final answer
    x = 916.07

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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.