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Finding the Fourth Proportional to 2,553.20, 3,829.84 and 798.25

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Solution

The fourth proportional to 2,553.20, 3,829.84 and 798.25 is: 1,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.20 : 3,829.84 = 798.25 : x
  2. Step 2: Convert to fraction form
    2,553.20/3,829.84 = 798.25/x
  3. Step 3: Cross multiply
    2,553.20x = 3,829.84 × 798.25
  4. Step 4: Simplify right side
    2,553.20x = 3,057,146.64
  5. Step 5: Solve for x
    x = 3,057,146.64/2,553.20
  6. Step 6: Final answer
    x = 1,197.38

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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.