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Finding the Fourth Proportional to 2,189.91, 3,282.03 and 890.67

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Solution

The fourth proportional to 2,189.91, 3,282.03 and 890.67 is: 1,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.91 : 3,282.03 = 890.67 : x
  2. Step 2: Convert to fraction form
    2,189.91/3,282.03 = 890.67/x
  3. Step 3: Cross multiply
    2,189.91x = 3,282.03 × 890.67
  4. Step 4: Simplify right side
    2,189.91x = 2,923,205.66
  5. Step 5: Solve for x
    x = 2,923,205.66/2,189.91
  6. Step 6: Final answer
    x = 1,334.85

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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.