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Finding the Fourth Proportional to 1,902.60, 2,849.10 and 1,249.80

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Solution

The fourth proportional to 1,902.60, 2,849.10 and 1,249.80 is: 1,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.60 : 2,849.10 = 1,249.80 : x
  2. Step 2: Convert to fraction form
    1,902.60/2,849.10 = 1,249.80/x
  3. Step 3: Cross multiply
    1,902.60x = 2,849.10 × 1,249.80
  4. Step 4: Simplify right side
    1,902.60x = 3,560,805.18
  5. Step 5: Solve for x
    x = 3,560,805.18/1,902.60
  6. Step 6: Final answer
    x = 1,871.55

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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.