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Finding the Fourth Proportional to 2,822.85, 3,896.91 and 1,879.20

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Solution

The fourth proportional to 2,822.85, 3,896.91 and 1,879.20 is: 2,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.85 : 3,896.91 = 1,879.20 : x
  2. Step 2: Convert to fraction form
    2,822.85/3,896.91 = 1,879.20/x
  3. Step 3: Cross multiply
    2,822.85x = 3,896.91 × 1,879.20
  4. Step 4: Simplify right side
    2,822.85x = 7,323,073.27
  5. Step 5: Solve for x
    x = 7,323,073.27/2,822.85
  6. Step 6: Final answer
    x = 2,594.21

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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.