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Finding the Fourth Proportional to 2,222.46, 3,334.17 and 2,209.50

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Solution

The fourth proportional to 2,222.46, 3,334.17 and 2,209.50 is: 3,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.46 : 3,334.17 = 2,209.50 : x
  2. Step 2: Convert to fraction form
    2,222.46/3,334.17 = 2,209.50/x
  3. Step 3: Cross multiply
    2,222.46x = 3,334.17 × 2,209.50
  4. Step 4: Simplify right side
    2,222.46x = 7,366,848.62
  5. Step 5: Solve for x
    x = 7,366,848.62/2,222.46
  6. Step 6: Final answer
    x = 3,314.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.