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Finding the Fourth Proportional to 2,205.95, 3,308.85 and 562.48

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Solution

The fourth proportional to 2,205.95, 3,308.85 and 562.48 is: 843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.95 : 3,308.85 = 562.48 : x
  2. Step 2: Convert to fraction form
    2,205.95/3,308.85 = 562.48/x
  3. Step 3: Cross multiply
    2,205.95x = 3,308.85 × 562.48
  4. Step 4: Simplify right side
    2,205.95x = 1,861,153.68
  5. Step 5: Solve for x
    x = 1,861,153.68/2,205.95
  6. Step 6: Final answer
    x = 843.70

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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.