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Finding the Fourth Proportional to 2,024.11, 3,035.49 and 791.20

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Solution

The fourth proportional to 2,024.11, 3,035.49 and 791.20 is: 1,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.11 : 3,035.49 = 791.20 : x
  2. Step 2: Convert to fraction form
    2,024.11/3,035.49 = 791.20/x
  3. Step 3: Cross multiply
    2,024.11x = 3,035.49 × 791.20
  4. Step 4: Simplify right side
    2,024.11x = 2,401,679.69
  5. Step 5: Solve for x
    x = 2,401,679.69/2,024.11
  6. Step 6: Final answer
    x = 1,186.54

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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.