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Finding the Fourth Proportional to 2,879.20, 3,973.38 and 1,620.22

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Solution

The fourth proportional to 2,879.20, 3,973.38 and 1,620.22 is: 2,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.20 : 3,973.38 = 1,620.22 : x
  2. Step 2: Convert to fraction form
    2,879.20/3,973.38 = 1,620.22/x
  3. Step 3: Cross multiply
    2,879.20x = 3,973.38 × 1,620.22
  4. Step 4: Simplify right side
    2,879.20x = 6,437,749.74
  5. Step 5: Solve for x
    x = 6,437,749.74/2,879.20
  6. Step 6: Final answer
    x = 2,235.95

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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.