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Finding the Fourth Proportional to 3,061.38, 4,589.48 and 1,213.80

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Solution

The fourth proportional to 3,061.38, 4,589.48 and 1,213.80 is: 1,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.38 : 4,589.48 = 1,213.80 : x
  2. Step 2: Convert to fraction form
    3,061.38/4,589.48 = 1,213.80/x
  3. Step 3: Cross multiply
    3,061.38x = 4,589.48 × 1,213.80
  4. Step 4: Simplify right side
    3,061.38x = 5,570,704.76
  5. Step 5: Solve for x
    x = 5,570,704.76/3,061.38
  6. Step 6: Final answer
    x = 1,819.67

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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.