Home / 2,208.08-3,311.73-821.09

Finding the Fourth Proportional to 2,208.08, 3,311.73 and 821.09

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Solution

The fourth proportional to 2,208.08, 3,311.73 and 821.09 is: 1,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.08 : 3,311.73 = 821.09 : x
  2. Step 2: Convert to fraction form
    2,208.08/3,311.73 = 821.09/x
  3. Step 3: Cross multiply
    2,208.08x = 3,311.73 × 821.09
  4. Step 4: Simplify right side
    2,208.08x = 2,719,228.39
  5. Step 5: Solve for x
    x = 2,719,228.39/2,208.08
  6. Step 6: Final answer
    x = 1,231.49

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1.5x scale

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.