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Finding the Fourth Proportional to 3,217.50, 4,440.90 and 2,096.50

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Solution

The fourth proportional to 3,217.50, 4,440.90 and 2,096.50 is: 2,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.50 : 4,440.90 = 2,096.50 : x
  2. Step 2: Convert to fraction form
    3,217.50/4,440.90 = 2,096.50/x
  3. Step 3: Cross multiply
    3,217.50x = 4,440.90 × 2,096.50
  4. Step 4: Simplify right side
    3,217.50x = 9,310,346.85
  5. Step 5: Solve for x
    x = 9,310,346.85/3,217.50
  6. Step 6: Final answer
    x = 2,893.66

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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.