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Finding the Fourth Proportional to 2,765.85, 4,149.99 and 1,467

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Solution

The fourth proportional to 2,765.85, 4,149.99 and 1,467 is: 2,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.85 : 4,149.99 = 1,467 : x
  2. Step 2: Convert to fraction form
    2,765.85/4,149.99 = 1,467/x
  3. Step 3: Cross multiply
    2,765.85x = 4,149.99 × 1,467
  4. Step 4: Simplify right side
    2,765.85x = 6,088,035.33
  5. Step 5: Solve for x
    x = 6,088,035.33/2,765.85
  6. Step 6: Final answer
    x = 2,201.14

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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.