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Finding the Fourth Proportional to 2,436.17, 3,651.93 and 791.69

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Solution

The fourth proportional to 2,436.17, 3,651.93 and 791.69 is: 1,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.17 : 3,651.93 = 791.69 : x
  2. Step 2: Convert to fraction form
    2,436.17/3,651.93 = 791.69/x
  3. Step 3: Cross multiply
    2,436.17x = 3,651.93 × 791.69
  4. Step 4: Simplify right side
    2,436.17x = 2,891,178.20
  5. Step 5: Solve for x
    x = 2,891,178.20/2,436.17
  6. Step 6: Final answer
    x = 1,186.77

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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.