Home / 2,208.20-3,313.60-822.52

Finding the Fourth Proportional to 2,208.20, 3,313.60 and 822.52

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Solution

The fourth proportional to 2,208.20, 3,313.60 and 822.52 is: 1,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.20 : 3,313.60 = 822.52 : x
  2. Step 2: Convert to fraction form
    2,208.20/3,313.60 = 822.52/x
  3. Step 3: Cross multiply
    2,208.20x = 3,313.60 × 822.52
  4. Step 4: Simplify right side
    2,208.20x = 2,725,502.27
  5. Step 5: Solve for x
    x = 2,725,502.27/2,208.20
  6. Step 6: Final answer
    x = 1,234.26

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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.