Home / 2,126.24-3,190.94-827.68

Finding the Fourth Proportional to 2,126.24, 3,190.94 and 827.68

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Solution

The fourth proportional to 2,126.24, 3,190.94 and 827.68 is: 1,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.24 : 3,190.94 = 827.68 : x
  2. Step 2: Convert to fraction form
    2,126.24/3,190.94 = 827.68/x
  3. Step 3: Cross multiply
    2,126.24x = 3,190.94 × 827.68
  4. Step 4: Simplify right side
    2,126.24x = 2,641,077.22
  5. Step 5: Solve for x
    x = 2,641,077.22/2,126.24
  6. Step 6: Final answer
    x = 1,242.14

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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.