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Finding the Fourth Proportional to 1,997.84, 2,997.21 and 611.30

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Solution

The fourth proportional to 1,997.84, 2,997.21 and 611.30 is: 917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.84 : 2,997.21 = 611.30 : x
  2. Step 2: Convert to fraction form
    1,997.84/2,997.21 = 611.30/x
  3. Step 3: Cross multiply
    1,997.84x = 2,997.21 × 611.30
  4. Step 4: Simplify right side
    1,997.84x = 1,832,194.47
  5. Step 5: Solve for x
    x = 1,832,194.47/1,997.84
  6. Step 6: Final answer
    x = 917.09

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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.