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Finding the Fourth Proportional to 2,121.67, 3,180.21 and 889.75

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Solution

The fourth proportional to 2,121.67, 3,180.21 and 889.75 is: 1,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.67 : 3,180.21 = 889.75 : x
  2. Step 2: Convert to fraction form
    2,121.67/3,180.21 = 889.75/x
  3. Step 3: Cross multiply
    2,121.67x = 3,180.21 × 889.75
  4. Step 4: Simplify right side
    2,121.67x = 2,829,591.85
  5. Step 5: Solve for x
    x = 2,829,591.85/2,121.67
  6. Step 6: Final answer
    x = 1,333.66

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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.