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Finding the Fourth Proportional to 2,205.75, 3,308.62 and 562.29

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Solution

The fourth proportional to 2,205.75, 3,308.62 and 562.29 is: 843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.75 : 3,308.62 = 562.29 : x
  2. Step 2: Convert to fraction form
    2,205.75/3,308.62 = 562.29/x
  3. Step 3: Cross multiply
    2,205.75x = 3,308.62 × 562.29
  4. Step 4: Simplify right side
    2,205.75x = 1,860,403.94
  5. Step 5: Solve for x
    x = 1,860,403.94/2,205.75
  6. Step 6: Final answer
    x = 843.43

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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.