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Finding the Fourth Proportional to 2,879.82, 4,311.50 and 2,650.19

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Solution

The fourth proportional to 2,879.82, 4,311.50 and 2,650.19 is: 3,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.82 : 4,311.50 = 2,650.19 : x
  2. Step 2: Convert to fraction form
    2,879.82/4,311.50 = 2,650.19/x
  3. Step 3: Cross multiply
    2,879.82x = 4,311.50 × 2,650.19
  4. Step 4: Simplify right side
    2,879.82x = 11,426,259.38
  5. Step 5: Solve for x
    x = 11,426,259.38/2,879.82
  6. Step 6: Final answer
    x = 3,967.70

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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.