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Finding the Fourth Proportional to 3,173.35, 4,759.29 and 1,199.19

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Solution

The fourth proportional to 3,173.35, 4,759.29 and 1,199.19 is: 1,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.35 : 4,759.29 = 1,199.19 : x
  2. Step 2: Convert to fraction form
    3,173.35/4,759.29 = 1,199.19/x
  3. Step 3: Cross multiply
    3,173.35x = 4,759.29 × 1,199.19
  4. Step 4: Simplify right side
    3,173.35x = 5,707,309.19
  5. Step 5: Solve for x
    x = 5,707,309.19/3,173.35
  6. Step 6: Final answer
    x = 1,798.51

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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.