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Finding the Fourth Proportional to 2,178.45, 3,266.64 and 791.42

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Solution

The fourth proportional to 2,178.45, 3,266.64 and 791.42 is: 1,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.45 : 3,266.64 = 791.42 : x
  2. Step 2: Convert to fraction form
    2,178.45/3,266.64 = 791.42/x
  3. Step 3: Cross multiply
    2,178.45x = 3,266.64 × 791.42
  4. Step 4: Simplify right side
    2,178.45x = 2,585,267.90
  5. Step 5: Solve for x
    x = 2,585,267.90/2,178.45
  6. Step 6: Final answer
    x = 1,186.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.