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Finding the Fourth Proportional to 3,199.26, 4,797 and 1,249.20

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Solution

The fourth proportional to 3,199.26, 4,797 and 1,249.20 is: 1,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.26 : 4,797 = 1,249.20 : x
  2. Step 2: Convert to fraction form
    3,199.26/4,797 = 1,249.20/x
  3. Step 3: Cross multiply
    3,199.26x = 4,797 × 1,249.20
  4. Step 4: Simplify right side
    3,199.26x = 5,992,412.40
  5. Step 5: Solve for x
    x = 5,992,412.40/3,199.26
  6. Step 6: Final answer
    x = 1,873.06

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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.