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Finding the Fourth Proportional to 2,879.70, 3,970.33 and 2,208.28

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Solution

The fourth proportional to 2,879.70, 3,970.33 and 2,208.28 is: 3,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.70 : 3,970.33 = 2,208.28 : x
  2. Step 2: Convert to fraction form
    2,879.70/3,970.33 = 2,208.28/x
  3. Step 3: Cross multiply
    2,879.70x = 3,970.33 × 2,208.28
  4. Step 4: Simplify right side
    2,879.70x = 8,767,600.33
  5. Step 5: Solve for x
    x = 8,767,600.33/2,879.70
  6. Step 6: Final answer
    x = 3,044.62

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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.