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Finding the Fourth Proportional to 3,012.89, 4,519.19 and 791.67

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Solution

The fourth proportional to 3,012.89, 4,519.19 and 791.67 is: 1,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.89 : 4,519.19 = 791.67 : x
  2. Step 2: Convert to fraction form
    3,012.89/4,519.19 = 791.67/x
  3. Step 3: Cross multiply
    3,012.89x = 4,519.19 × 791.67
  4. Step 4: Simplify right side
    3,012.89x = 3,577,709.13
  5. Step 5: Solve for x
    x = 3,577,709.13/3,012.89
  6. Step 6: Final answer
    x = 1,187.47

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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.