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Finding the Fourth Proportional to 3,174.90, 4,760.67 and 1,200.22

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Solution

The fourth proportional to 3,174.90, 4,760.67 and 1,200.22 is: 1,799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.90 : 4,760.67 = 1,200.22 : x
  2. Step 2: Convert to fraction form
    3,174.90/4,760.67 = 1,200.22/x
  3. Step 3: Cross multiply
    3,174.90x = 4,760.67 × 1,200.22
  4. Step 4: Simplify right side
    3,174.90x = 5,713,843.95
  5. Step 5: Solve for x
    x = 5,713,843.95/3,174.90
  6. Step 6: Final answer
    x = 1,799.69

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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.