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Finding the Fourth Proportional to 2,815.23, 4,222.91 and 867.44

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Solution

The fourth proportional to 2,815.23, 4,222.91 and 867.44 is: 1,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.23 : 4,222.91 = 867.44 : x
  2. Step 2: Convert to fraction form
    2,815.23/4,222.91 = 867.44/x
  3. Step 3: Cross multiply
    2,815.23x = 4,222.91 × 867.44
  4. Step 4: Simplify right side
    2,815.23x = 3,663,121.05
  5. Step 5: Solve for x
    x = 3,663,121.05/2,815.23
  6. Step 6: Final answer
    x = 1,301.18

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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.