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Finding the Fourth Proportional to 2,611.50, 3,601.83 and 1,617.33

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Solution

The fourth proportional to 2,611.50, 3,601.83 and 1,617.33 is: 2,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.50 : 3,601.83 = 1,617.33 : x
  2. Step 2: Convert to fraction form
    2,611.50/3,601.83 = 1,617.33/x
  3. Step 3: Cross multiply
    2,611.50x = 3,601.83 × 1,617.33
  4. Step 4: Simplify right side
    2,611.50x = 5,825,347.71
  5. Step 5: Solve for x
    x = 5,825,347.71/2,611.50
  6. Step 6: Final answer
    x = 2,230.65

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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.