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Finding the Fourth Proportional to 2,204.20, 3,305.48 and 817.20

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Solution

The fourth proportional to 2,204.20, 3,305.48 and 817.20 is: 1,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.20 : 3,305.48 = 817.20 : x
  2. Step 2: Convert to fraction form
    2,204.20/3,305.48 = 817.20/x
  3. Step 3: Cross multiply
    2,204.20x = 3,305.48 × 817.20
  4. Step 4: Simplify right side
    2,204.20x = 2,701,238.26
  5. Step 5: Solve for x
    x = 2,701,238.26/2,204.20
  6. Step 6: Final answer
    x = 1,225.50

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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.