Home / 2,207.42-3,311.21-821.10

Finding the Fourth Proportional to 2,207.42, 3,311.21 and 821.10

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Solution

The fourth proportional to 2,207.42, 3,311.21 and 821.10 is: 1,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.42 : 3,311.21 = 821.10 : x
  2. Step 2: Convert to fraction form
    2,207.42/3,311.21 = 821.10/x
  3. Step 3: Cross multiply
    2,207.42x = 3,311.21 × 821.10
  4. Step 4: Simplify right side
    2,207.42x = 2,718,830.43
  5. Step 5: Solve for x
    x = 2,718,830.43/2,207.42
  6. Step 6: Final answer
    x = 1,231.68

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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.