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Finding the Fourth Proportional to 3,174.19, 4,759.62 and 1,324.96

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Solution

The fourth proportional to 3,174.19, 4,759.62 and 1,324.96 is: 1,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.19 : 4,759.62 = 1,324.96 : x
  2. Step 2: Convert to fraction form
    3,174.19/4,759.62 = 1,324.96/x
  3. Step 3: Cross multiply
    3,174.19x = 4,759.62 × 1,324.96
  4. Step 4: Simplify right side
    3,174.19x = 6,306,306.12
  5. Step 5: Solve for x
    x = 6,306,306.12/3,174.19
  6. Step 6: Final answer
    x = 1,986.75

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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.