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Finding the Fourth Proportional to 2,879.25, 3,956.14 and 2,288.76

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Solution

The fourth proportional to 2,879.25, 3,956.14 and 2,288.76 is: 3,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.25 : 3,956.14 = 2,288.76 : x
  2. Step 2: Convert to fraction form
    2,879.25/3,956.14 = 2,288.76/x
  3. Step 3: Cross multiply
    2,879.25x = 3,956.14 × 2,288.76
  4. Step 4: Simplify right side
    2,879.25x = 9,054,654.99
  5. Step 5: Solve for x
    x = 9,054,654.99/2,879.25
  6. Step 6: Final answer
    x = 3,144.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.