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Finding the Fourth Proportional to 2,179.75, 3,266.38 and 1,865.54

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Solution

The fourth proportional to 2,179.75, 3,266.38 and 1,865.54 is: 2,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.75 : 3,266.38 = 1,865.54 : x
  2. Step 2: Convert to fraction form
    2,179.75/3,266.38 = 1,865.54/x
  3. Step 3: Cross multiply
    2,179.75x = 3,266.38 × 1,865.54
  4. Step 4: Simplify right side
    2,179.75x = 6,093,562.55
  5. Step 5: Solve for x
    x = 6,093,562.55/2,179.75
  6. Step 6: Final answer
    x = 2,795.53

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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.