Home / 2,771.57-4,158.08-823.73

Finding the Fourth Proportional to 2,771.57, 4,158.08 and 823.73

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Solution

The fourth proportional to 2,771.57, 4,158.08 and 823.73 is: 1,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.57 : 4,158.08 = 823.73 : x
  2. Step 2: Convert to fraction form
    2,771.57/4,158.08 = 823.73/x
  3. Step 3: Cross multiply
    2,771.57x = 4,158.08 × 823.73
  4. Step 4: Simplify right side
    2,771.57x = 3,425,135.24
  5. Step 5: Solve for x
    x = 3,425,135.24/2,771.57
  6. Step 6: Final answer
    x = 1,235.81

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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.