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Finding the Fourth Proportional to 2,206.39, 3,309.61 and 562.94

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Solution

The fourth proportional to 2,206.39, 3,309.61 and 562.94 is: 844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.39 : 3,309.61 = 562.94 : x
  2. Step 2: Convert to fraction form
    2,206.39/3,309.61 = 562.94/x
  3. Step 3: Cross multiply
    2,206.39x = 3,309.61 × 562.94
  4. Step 4: Simplify right side
    2,206.39x = 1,863,111.85
  5. Step 5: Solve for x
    x = 1,863,111.85/2,206.39
  6. Step 6: Final answer
    x = 844.42

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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.