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Finding the Fourth Proportional to 3,364.80, 4,640.22 and 2,228.67

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Solution

The fourth proportional to 3,364.80, 4,640.22 and 2,228.67 is: 3,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.80 : 4,640.22 = 2,228.67 : x
  2. Step 2: Convert to fraction form
    3,364.80/4,640.22 = 2,228.67/x
  3. Step 3: Cross multiply
    3,364.80x = 4,640.22 × 2,228.67
  4. Step 4: Simplify right side
    3,364.80x = 10,341,519.11
  5. Step 5: Solve for x
    x = 10,341,519.11/3,364.80
  6. Step 6: Final answer
    x = 3,073.44

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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.