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Finding the Fourth Proportional to 2,279.85, 3,142.50 and 1,649.49

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Solution

The fourth proportional to 2,279.85, 3,142.50 and 1,649.49 is: 2,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.85 : 3,142.50 = 1,649.49 : x
  2. Step 2: Convert to fraction form
    2,279.85/3,142.50 = 1,649.49/x
  3. Step 3: Cross multiply
    2,279.85x = 3,142.50 × 1,649.49
  4. Step 4: Simplify right side
    2,279.85x = 5,183,522.33
  5. Step 5: Solve for x
    x = 5,183,522.33/2,279.85
  6. Step 6: Final answer
    x = 2,273.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.