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Finding the Fourth Proportional to 3,167.26, 4,751.97 and 1,706.56

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Solution

The fourth proportional to 3,167.26, 4,751.97 and 1,706.56 is: 2,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.26 : 4,751.97 = 1,706.56 : x
  2. Step 2: Convert to fraction form
    3,167.26/4,751.97 = 1,706.56/x
  3. Step 3: Cross multiply
    3,167.26x = 4,751.97 × 1,706.56
  4. Step 4: Simplify right side
    3,167.26x = 8,109,521.92
  5. Step 5: Solve for x
    x = 8,109,521.92/3,167.26
  6. Step 6: Final answer
    x = 2,560.42

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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.