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Finding the Fourth Proportional to 3,174.93, 4,759.78 and 2,131.74

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Solution

The fourth proportional to 3,174.93, 4,759.78 and 2,131.74 is: 3,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.93 : 4,759.78 = 2,131.74 : x
  2. Step 2: Convert to fraction form
    3,174.93/4,759.78 = 2,131.74/x
  3. Step 3: Cross multiply
    3,174.93x = 4,759.78 × 2,131.74
  4. Step 4: Simplify right side
    3,174.93x = 10,146,613.42
  5. Step 5: Solve for x
    x = 10,146,613.42/3,174.93
  6. Step 6: Final answer
    x = 3,195.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.