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Finding the Fourth Proportional to 1,249.97, 1,884.43 and 1,183.01

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Solution

The fourth proportional to 1,249.97, 1,884.43 and 1,183.01 is: 1,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.97 : 1,884.43 = 1,183.01 : x
  2. Step 2: Convert to fraction form
    1,249.97/1,884.43 = 1,183.01/x
  3. Step 3: Cross multiply
    1,249.97x = 1,884.43 × 1,183.01
  4. Step 4: Simplify right side
    1,249.97x = 2,229,291.59
  5. Step 5: Solve for x
    x = 2,229,291.59/1,249.97
  6. Step 6: Final answer
    x = 1,783.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.