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Finding the Fourth Proportional to 1,469.04, 2,027.62 and 997.72

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Solution

The fourth proportional to 1,469.04, 2,027.62 and 997.72 is: 1,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.04 : 2,027.62 = 997.72 : x
  2. Step 2: Convert to fraction form
    1,469.04/2,027.62 = 997.72/x
  3. Step 3: Cross multiply
    1,469.04x = 2,027.62 × 997.72
  4. Step 4: Simplify right side
    1,469.04x = 2,022,993.20
  5. Step 5: Solve for x
    x = 2,022,993.20/1,469.04
  6. Step 6: Final answer
    x = 1,377.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.