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Finding the Fourth Proportional to 2,178.78, 3,267.05 and 791.75

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Solution

The fourth proportional to 2,178.78, 3,267.05 and 791.75 is: 1,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.78 : 3,267.05 = 791.75 : x
  2. Step 2: Convert to fraction form
    2,178.78/3,267.05 = 791.75/x
  3. Step 3: Cross multiply
    2,178.78x = 3,267.05 × 791.75
  4. Step 4: Simplify right side
    2,178.78x = 2,586,666.54
  5. Step 5: Solve for x
    x = 2,586,666.54/2,178.78
  6. Step 6: Final answer
    x = 1,187.21

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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.