Home / 2,208.06-3,311.52-820.65

Finding the Fourth Proportional to 2,208.06, 3,311.52 and 820.65

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Solution

The fourth proportional to 2,208.06, 3,311.52 and 820.65 is: 1,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.06 : 3,311.52 = 820.65 : x
  2. Step 2: Convert to fraction form
    2,208.06/3,311.52 = 820.65/x
  3. Step 3: Cross multiply
    2,208.06x = 3,311.52 × 820.65
  4. Step 4: Simplify right side
    2,208.06x = 2,717,598.89
  5. Step 5: Solve for x
    x = 2,717,598.89/2,208.06
  6. Step 6: Final answer
    x = 1,230.76

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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.