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Finding the Fourth Proportional to 1,997.07, 2,996.09 and 662.94

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Solution

The fourth proportional to 1,997.07, 2,996.09 and 662.94 is: 994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.07 : 2,996.09 = 662.94 : x
  2. Step 2: Convert to fraction form
    1,997.07/2,996.09 = 662.94/x
  3. Step 3: Cross multiply
    1,997.07x = 2,996.09 × 662.94
  4. Step 4: Simplify right side
    1,997.07x = 1,986,224.59
  5. Step 5: Solve for x
    x = 1,986,224.59/1,997.07
  6. Step 6: Final answer
    x = 994.57

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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.