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Finding the Fourth Proportional to 3,211.99, 4,817.90 and 1,480.61

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Solution

The fourth proportional to 3,211.99, 4,817.90 and 1,480.61 is: 2,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.99 : 4,817.90 = 1,480.61 : x
  2. Step 2: Convert to fraction form
    3,211.99/4,817.90 = 1,480.61/x
  3. Step 3: Cross multiply
    3,211.99x = 4,817.90 × 1,480.61
  4. Step 4: Simplify right side
    3,211.99x = 7,133,430.92
  5. Step 5: Solve for x
    x = 7,133,430.92/3,211.99
  6. Step 6: Final answer
    x = 2,220.88

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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.