Home / 1,596.26-2,392.23-827.30

Finding the Fourth Proportional to 1,596.26, 2,392.23 and 827.30

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Solution

The fourth proportional to 1,596.26, 2,392.23 and 827.30 is: 1,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.26 : 2,392.23 = 827.30 : x
  2. Step 2: Convert to fraction form
    1,596.26/2,392.23 = 827.30/x
  3. Step 3: Cross multiply
    1,596.26x = 2,392.23 × 827.30
  4. Step 4: Simplify right side
    1,596.26x = 1,979,091.88
  5. Step 5: Solve for x
    x = 1,979,091.88/1,596.26
  6. Step 6: Final answer
    x = 1,239.83

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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.