Home / 2,156.24-3,234.26-769.57

Finding the Fourth Proportional to 2,156.24, 3,234.26 and 769.57

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Solution

The fourth proportional to 2,156.24, 3,234.26 and 769.57 is: 1,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.24 : 3,234.26 = 769.57 : x
  2. Step 2: Convert to fraction form
    2,156.24/3,234.26 = 769.57/x
  3. Step 3: Cross multiply
    2,156.24x = 3,234.26 × 769.57
  4. Step 4: Simplify right side
    2,156.24x = 2,488,983.31
  5. Step 5: Solve for x
    x = 2,488,983.31/2,156.24
  6. Step 6: Final answer
    x = 1,154.32

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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.