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Finding the Fourth Proportional to 2,206.06, 3,309.10 and 562.60

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Solution

The fourth proportional to 2,206.06, 3,309.10 and 562.60 is: 843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.06 : 3,309.10 = 562.60 : x
  2. Step 2: Convert to fraction form
    2,206.06/3,309.10 = 562.60/x
  3. Step 3: Cross multiply
    2,206.06x = 3,309.10 × 562.60
  4. Step 4: Simplify right side
    2,206.06x = 1,861,699.66
  5. Step 5: Solve for x
    x = 1,861,699.66/2,206.06
  6. Step 6: Final answer
    x = 843.90

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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.