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Finding the Fourth Proportional to 2,553.85, 3,822.69 and 1,769.86

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Solution

The fourth proportional to 2,553.85, 3,822.69 and 1,769.86 is: 2,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.85 : 3,822.69 = 1,769.86 : x
  2. Step 2: Convert to fraction form
    2,553.85/3,822.69 = 1,769.86/x
  3. Step 3: Cross multiply
    2,553.85x = 3,822.69 × 1,769.86
  4. Step 4: Simplify right side
    2,553.85x = 6,765,626.12
  5. Step 5: Solve for x
    x = 6,765,626.12/2,553.85
  6. Step 6: Final answer
    x = 2,649.19

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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.