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Finding the Fourth Proportional to 3,173.03, 4,759.43 and 833.02

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Solution

The fourth proportional to 3,173.03, 4,759.43 and 833.02 is: 1,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.03 : 4,759.43 = 833.02 : x
  2. Step 2: Convert to fraction form
    3,173.03/4,759.43 = 833.02/x
  3. Step 3: Cross multiply
    3,173.03x = 4,759.43 × 833.02
  4. Step 4: Simplify right side
    3,173.03x = 3,964,676.58
  5. Step 5: Solve for x
    x = 3,964,676.58/3,173.03
  6. Step 6: Final answer
    x = 1,249.49

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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.