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Finding the Fourth Proportional to 1,997.49, 2,991 and 1,605.41

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Solution

The fourth proportional to 1,997.49, 2,991 and 1,605.41 is: 2,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.49 : 2,991 = 1,605.41 : x
  2. Step 2: Convert to fraction form
    1,997.49/2,991 = 1,605.41/x
  3. Step 3: Cross multiply
    1,997.49x = 2,991 × 1,605.41
  4. Step 4: Simplify right side
    1,997.49x = 4,801,766.36
  5. Step 5: Solve for x
    x = 4,801,766.36/1,997.49
  6. Step 6: Final answer
    x = 2,403.90

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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.