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Finding the Fourth Proportional to 3,205.40, 4,425.18 and 2,216

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Solution

The fourth proportional to 3,205.40, 4,425.18 and 2,216 is: 3,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.40 : 4,425.18 = 2,216 : x
  2. Step 2: Convert to fraction form
    3,205.40/4,425.18 = 2,216/x
  3. Step 3: Cross multiply
    3,205.40x = 4,425.18 × 2,216
  4. Step 4: Simplify right side
    3,205.40x = 9,806,198.88
  5. Step 5: Solve for x
    x = 9,806,198.88/3,205.40
  6. Step 6: Final answer
    x = 3,059.27

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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.