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Finding the Fourth Proportional to 2,255.68, 3,383.52 and 794.49

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Solution

The fourth proportional to 2,255.68, 3,383.52 and 794.49 is: 1,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.68 : 3,383.52 = 794.49 : x
  2. Step 2: Convert to fraction form
    2,255.68/3,383.52 = 794.49/x
  3. Step 3: Cross multiply
    2,255.68x = 3,383.52 × 794.49
  4. Step 4: Simplify right side
    2,255.68x = 2,688,172.80
  5. Step 5: Solve for x
    x = 2,688,172.80/2,255.68
  6. Step 6: Final answer
    x = 1,191.74

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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.