Home / 2,284.92-3,427.83-824.07

Finding the Fourth Proportional to 2,284.92, 3,427.83 and 824.07

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Solution

The fourth proportional to 2,284.92, 3,427.83 and 824.07 is: 1,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.92 : 3,427.83 = 824.07 : x
  2. Step 2: Convert to fraction form
    2,284.92/3,427.83 = 824.07/x
  3. Step 3: Cross multiply
    2,284.92x = 3,427.83 × 824.07
  4. Step 4: Simplify right side
    2,284.92x = 2,824,771.87
  5. Step 5: Solve for x
    x = 2,824,771.87/2,284.92
  6. Step 6: Final answer
    x = 1,236.27

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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.