Home / 2,282.18-3,423.26-821.14

Finding the Fourth Proportional to 2,282.18, 3,423.26 and 821.14

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Solution

The fourth proportional to 2,282.18, 3,423.26 and 821.14 is: 1,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.18 : 3,423.26 = 821.14 : x
  2. Step 2: Convert to fraction form
    2,282.18/3,423.26 = 821.14/x
  3. Step 3: Cross multiply
    2,282.18x = 3,423.26 × 821.14
  4. Step 4: Simplify right side
    2,282.18x = 2,810,969.21
  5. Step 5: Solve for x
    x = 2,810,969.21/2,282.18
  6. Step 6: Final answer
    x = 1,231.71

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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.