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Finding the Fourth Proportional to 2,771.97, 4,156.57 and 922.44

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Solution

The fourth proportional to 2,771.97, 4,156.57 and 922.44 is: 1,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.97 : 4,156.57 = 922.44 : x
  2. Step 2: Convert to fraction form
    2,771.97/4,156.57 = 922.44/x
  3. Step 3: Cross multiply
    2,771.97x = 4,156.57 × 922.44
  4. Step 4: Simplify right side
    2,771.97x = 3,834,186.43
  5. Step 5: Solve for x
    x = 3,834,186.43/2,771.97
  6. Step 6: Final answer
    x = 1,383.20

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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.