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Finding the Fourth Proportional to 1,997.16, 2,991.42 and 969

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Solution

The fourth proportional to 1,997.16, 2,991.42 and 969 is: 1,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.16 : 2,991.42 = 969 : x
  2. Step 2: Convert to fraction form
    1,997.16/2,991.42 = 969/x
  3. Step 3: Cross multiply
    1,997.16x = 2,991.42 × 969
  4. Step 4: Simplify right side
    1,997.16x = 2,898,685.98
  5. Step 5: Solve for x
    x = 2,898,685.98/1,997.16
  6. Step 6: Final answer
    x = 1,451.40

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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.