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Finding the Fourth Proportional to 6,879.08, 10,319.70 and 2,261

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Solution

The fourth proportional to 6,879.08, 10,319.70 and 2,261 is: 3,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.08 : 10,319.70 = 2,261 : x
  2. Step 2: Convert to fraction form
    6,879.08/10,319.70 = 2,261/x
  3. Step 3: Cross multiply
    6,879.08x = 10,319.70 × 2,261
  4. Step 4: Simplify right side
    6,879.08x = 23,332,841.70
  5. Step 5: Solve for x
    x = 23,332,841.70/6,879.08
  6. Step 6: Final answer
    x = 3,391.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.