Home / 1,924.44-2,884.26-827.55

Finding the Fourth Proportional to 1,924.44, 2,884.26 and 827.55

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Solution

The fourth proportional to 1,924.44, 2,884.26 and 827.55 is: 1,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.44 : 2,884.26 = 827.55 : x
  2. Step 2: Convert to fraction form
    1,924.44/2,884.26 = 827.55/x
  3. Step 3: Cross multiply
    1,924.44x = 2,884.26 × 827.55
  4. Step 4: Simplify right side
    1,924.44x = 2,386,869.36
  5. Step 5: Solve for x
    x = 2,386,869.36/1,924.44
  6. Step 6: Final answer
    x = 1,240.29

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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.