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Finding the Fourth Proportional to 2,766.52, 4,141.68 and 2,744.65

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Solution

The fourth proportional to 2,766.52, 4,141.68 and 2,744.65 is: 4,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.52 : 4,141.68 = 2,744.65 : x
  2. Step 2: Convert to fraction form
    2,766.52/4,141.68 = 2,744.65/x
  3. Step 3: Cross multiply
    2,766.52x = 4,141.68 × 2,744.65
  4. Step 4: Simplify right side
    2,766.52x = 11,367,462.01
  5. Step 5: Solve for x
    x = 11,367,462.01/2,766.52
  6. Step 6: Final answer
    x = 4,108.94

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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.