Home / 2,201.40-3,302.13-814.20

Finding the Fourth Proportional to 2,201.40, 3,302.13 and 814.20

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Solution

The fourth proportional to 2,201.40, 3,302.13 and 814.20 is: 1,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.40 : 3,302.13 = 814.20 : x
  2. Step 2: Convert to fraction form
    2,201.40/3,302.13 = 814.20/x
  3. Step 3: Cross multiply
    2,201.40x = 3,302.13 × 814.20
  4. Step 4: Simplify right side
    2,201.40x = 2,688,594.25
  5. Step 5: Solve for x
    x = 2,688,594.25/2,201.40
  6. Step 6: Final answer
    x = 1,221.31

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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.