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Finding the Fourth Proportional to 2,115.92, 3,173.26 and 817.09

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Solution

The fourth proportional to 2,115.92, 3,173.26 and 817.09 is: 1,225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.92 : 3,173.26 = 817.09 : x
  2. Step 2: Convert to fraction form
    2,115.92/3,173.26 = 817.09/x
  3. Step 3: Cross multiply
    2,115.92x = 3,173.26 × 817.09
  4. Step 4: Simplify right side
    2,115.92x = 2,592,839.01
  5. Step 5: Solve for x
    x = 2,592,839.01/2,115.92
  6. Step 6: Final answer
    x = 1,225.40

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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.