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Finding the Fourth Proportional to 2,255.41, 3,383.12 and 794.68

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Solution

The fourth proportional to 2,255.41, 3,383.12 and 794.68 is: 1,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.41 : 3,383.12 = 794.68 : x
  2. Step 2: Convert to fraction form
    2,255.41/3,383.12 = 794.68/x
  3. Step 3: Cross multiply
    2,255.41x = 3,383.12 × 794.68
  4. Step 4: Simplify right side
    2,255.41x = 2,688,486.86
  5. Step 5: Solve for x
    x = 2,688,486.86/2,255.41
  6. Step 6: Final answer
    x = 1,192.02

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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.