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Finding the Fourth Proportional to 2,115.26, 3,171.06 and 817.64

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Solution

The fourth proportional to 2,115.26, 3,171.06 and 817.64 is: 1,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.26 : 3,171.06 = 817.64 : x
  2. Step 2: Convert to fraction form
    2,115.26/3,171.06 = 817.64/x
  3. Step 3: Cross multiply
    2,115.26x = 3,171.06 × 817.64
  4. Step 4: Simplify right side
    2,115.26x = 2,592,769.64
  5. Step 5: Solve for x
    x = 2,592,769.64/2,115.26
  6. Step 6: Final answer
    x = 1,225.75

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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.