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Finding the Fourth Proportional to 2,206.25, 3,309.05 and 562.69

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Solution

The fourth proportional to 2,206.25, 3,309.05 and 562.69 is: 843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.25 : 3,309.05 = 562.69 : x
  2. Step 2: Convert to fraction form
    2,206.25/3,309.05 = 562.69/x
  3. Step 3: Cross multiply
    2,206.25x = 3,309.05 × 562.69
  4. Step 4: Simplify right side
    2,206.25x = 1,861,969.34
  5. Step 5: Solve for x
    x = 1,861,969.34/2,206.25
  6. Step 6: Final answer
    x = 843.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.