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Finding the Fourth Proportional to 2,217.70, 3,322.18 and 1,240.82

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Solution

The fourth proportional to 2,217.70, 3,322.18 and 1,240.82 is: 1,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.70 : 3,322.18 = 1,240.82 : x
  2. Step 2: Convert to fraction form
    2,217.70/3,322.18 = 1,240.82/x
  3. Step 3: Cross multiply
    2,217.70x = 3,322.18 × 1,240.82
  4. Step 4: Simplify right side
    2,217.70x = 4,122,227.39
  5. Step 5: Solve for x
    x = 4,122,227.39/2,217.70
  6. Step 6: Final answer
    x = 1,858.78

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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.