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Finding the Fourth Proportional to 2,222.70, 3,334.05 and 1,965.73

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Solution

The fourth proportional to 2,222.70, 3,334.05 and 1,965.73 is: 2,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.70 : 3,334.05 = 1,965.73 : x
  2. Step 2: Convert to fraction form
    2,222.70/3,334.05 = 1,965.73/x
  3. Step 3: Cross multiply
    2,222.70x = 3,334.05 × 1,965.73
  4. Step 4: Simplify right side
    2,222.70x = 6,553,853.65
  5. Step 5: Solve for x
    x = 6,553,853.65/2,222.70
  6. Step 6: Final answer
    x = 2,948.60

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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.