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Finding the Fourth Proportional to 2,211.90, 3,315.30 and 911.76

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Solution

The fourth proportional to 2,211.90, 3,315.30 and 911.76 is: 1,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.90 : 3,315.30 = 911.76 : x
  2. Step 2: Convert to fraction form
    2,211.90/3,315.30 = 911.76/x
  3. Step 3: Cross multiply
    2,211.90x = 3,315.30 × 911.76
  4. Step 4: Simplify right side
    2,211.90x = 3,022,757.93
  5. Step 5: Solve for x
    x = 3,022,757.93/2,211.90
  6. Step 6: Final answer
    x = 1,366.59

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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.