Home / 2,214.47-3,322.26-827.85

Finding the Fourth Proportional to 2,214.47, 3,322.26 and 827.85

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Solution

The fourth proportional to 2,214.47, 3,322.26 and 827.85 is: 1,241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.47 : 3,322.26 = 827.85 : x
  2. Step 2: Convert to fraction form
    2,214.47/3,322.26 = 827.85/x
  3. Step 3: Cross multiply
    2,214.47x = 3,322.26 × 827.85
  4. Step 4: Simplify right side
    2,214.47x = 2,750,332.94
  5. Step 5: Solve for x
    x = 2,750,332.94/2,214.47
  6. Step 6: Final answer
    x = 1,241.99

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Why These Related Problems?

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