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Finding the Fourth Proportional to 1,950, 2,691 and 1,122.48

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Solution

The fourth proportional to 1,950, 2,691 and 1,122.48 is: 1,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950 : 2,691 = 1,122.48 : x
  2. Step 2: Convert to fraction form
    1,950/2,691 = 1,122.48/x
  3. Step 3: Cross multiply
    1,950x = 2,691 × 1,122.48
  4. Step 4: Simplify right side
    1,950x = 3,020,593.68
  5. Step 5: Solve for x
    x = 3,020,593.68/1,950
  6. Step 6: Final answer
    x = 1,549.02

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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.