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Finding the Fourth Proportional to 3,211.95, 4,817.98 and 1,760.33

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Solution

The fourth proportional to 3,211.95, 4,817.98 and 1,760.33 is: 2,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.95 : 4,817.98 = 1,760.33 : x
  2. Step 2: Convert to fraction form
    3,211.95/4,817.98 = 1,760.33/x
  3. Step 3: Cross multiply
    3,211.95x = 4,817.98 × 1,760.33
  4. Step 4: Simplify right side
    3,211.95x = 8,481,248.98
  5. Step 5: Solve for x
    x = 8,481,248.98/3,211.95
  6. Step 6: Final answer
    x = 2,640.53

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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.