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Finding the Fourth Proportional to 2,024.43, 3,036.19 and 791.05

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Solution

The fourth proportional to 2,024.43, 3,036.19 and 791.05 is: 1,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.43 : 3,036.19 = 791.05 : x
  2. Step 2: Convert to fraction form
    2,024.43/3,036.19 = 791.05/x
  3. Step 3: Cross multiply
    2,024.43x = 3,036.19 × 791.05
  4. Step 4: Simplify right side
    2,024.43x = 2,401,778.10
  5. Step 5: Solve for x
    x = 2,401,778.10/2,024.43
  6. Step 6: Final answer
    x = 1,186.40

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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.