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Finding the Fourth Proportional to 2,178.80, 3,266.97 and 717.83

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Solution

The fourth proportional to 2,178.80, 3,266.97 and 717.83 is: 1,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.80 : 3,266.97 = 717.83 : x
  2. Step 2: Convert to fraction form
    2,178.80/3,266.97 = 717.83/x
  3. Step 3: Cross multiply
    2,178.80x = 3,266.97 × 717.83
  4. Step 4: Simplify right side
    2,178.80x = 2,345,129.08
  5. Step 5: Solve for x
    x = 2,345,129.08/2,178.80
  6. Step 6: Final answer
    x = 1,076.34

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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.