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Finding the Fourth Proportional to 2,879.19, 3,970.67 and 2,135.03

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Solution

The fourth proportional to 2,879.19, 3,970.67 and 2,135.03 is: 2,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.19 : 3,970.67 = 2,135.03 : x
  2. Step 2: Convert to fraction form
    2,879.19/3,970.67 = 2,135.03/x
  3. Step 3: Cross multiply
    2,879.19x = 3,970.67 × 2,135.03
  4. Step 4: Simplify right side
    2,879.19x = 8,477,469.04
  5. Step 5: Solve for x
    x = 8,477,469.04/2,879.19
  6. Step 6: Final answer
    x = 2,944.39

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Why These Related Problems?

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