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Finding the Fourth Proportional to 2,769.12, 4,153.76 and 920.42

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Solution

The fourth proportional to 2,769.12, 4,153.76 and 920.42 is: 1,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.12 : 4,153.76 = 920.42 : x
  2. Step 2: Convert to fraction form
    2,769.12/4,153.76 = 920.42/x
  3. Step 3: Cross multiply
    2,769.12x = 4,153.76 × 920.42
  4. Step 4: Simplify right side
    2,769.12x = 3,823,203.59
  5. Step 5: Solve for x
    x = 3,823,203.59/2,769.12
  6. Step 6: Final answer
    x = 1,380.66

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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.