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Finding the Fourth Proportional to 2,207.73, 3,311.60 and 564.28

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Solution

The fourth proportional to 2,207.73, 3,311.60 and 564.28 is: 846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.73 : 3,311.60 = 564.28 : x
  2. Step 2: Convert to fraction form
    2,207.73/3,311.60 = 564.28/x
  3. Step 3: Cross multiply
    2,207.73x = 3,311.60 × 564.28
  4. Step 4: Simplify right side
    2,207.73x = 1,868,669.65
  5. Step 5: Solve for x
    x = 1,868,669.65/2,207.73
  6. Step 6: Final answer
    x = 846.42

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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.