Home / 2,772.07-4,158.83-824.23

Finding the Fourth Proportional to 2,772.07, 4,158.83 and 824.23

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Solution

The fourth proportional to 2,772.07, 4,158.83 and 824.23 is: 1,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.07 : 4,158.83 = 824.23 : x
  2. Step 2: Convert to fraction form
    2,772.07/4,158.83 = 824.23/x
  3. Step 3: Cross multiply
    2,772.07x = 4,158.83 × 824.23
  4. Step 4: Simplify right side
    2,772.07x = 3,427,832.45
  5. Step 5: Solve for x
    x = 3,427,832.45/2,772.07
  6. Step 6: Final answer
    x = 1,236.56

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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.