Home / 2,122.27-3,182.25-735.49

Finding the Fourth Proportional to 2,122.27, 3,182.25 and 735.49

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Solution

The fourth proportional to 2,122.27, 3,182.25 and 735.49 is: 1,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.27 : 3,182.25 = 735.49 : x
  2. Step 2: Convert to fraction form
    2,122.27/3,182.25 = 735.49/x
  3. Step 3: Cross multiply
    2,122.27x = 3,182.25 × 735.49
  4. Step 4: Simplify right side
    2,122.27x = 2,340,513.05
  5. Step 5: Solve for x
    x = 2,340,513.05/2,122.27
  6. Step 6: Final answer
    x = 1,102.83

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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.