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Finding the Fourth Proportional to 2,872.11, 4,307.61 and 791.60

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Solution

The fourth proportional to 2,872.11, 4,307.61 and 791.60 is: 1,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.11 : 4,307.61 = 791.60 : x
  2. Step 2: Convert to fraction form
    2,872.11/4,307.61 = 791.60/x
  3. Step 3: Cross multiply
    2,872.11x = 4,307.61 × 791.60
  4. Step 4: Simplify right side
    2,872.11x = 3,409,882.54
  5. Step 5: Solve for x
    x = 3,409,882.54/2,872.11
  6. Step 6: Final answer
    x = 1,187.24

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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.