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Finding the Fourth Proportional to 3,131.75, 4,321.82 and 1,734.50

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Solution

The fourth proportional to 3,131.75, 4,321.82 and 1,734.50 is: 2,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.75 : 4,321.82 = 1,734.50 : x
  2. Step 2: Convert to fraction form
    3,131.75/4,321.82 = 1,734.50/x
  3. Step 3: Cross multiply
    3,131.75x = 4,321.82 × 1,734.50
  4. Step 4: Simplify right side
    3,131.75x = 7,496,211.93
  5. Step 5: Solve for x
    x = 7,496,211.93/3,131.75
  6. Step 6: Final answer
    x = 2,393.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.