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Finding the Fourth Proportional to 2,164.13, 3,247.04 and 865.97

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Solution

The fourth proportional to 2,164.13, 3,247.04 and 865.97 is: 1,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.13 : 3,247.04 = 865.97 : x
  2. Step 2: Convert to fraction form
    2,164.13/3,247.04 = 865.97/x
  3. Step 3: Cross multiply
    2,164.13x = 3,247.04 × 865.97
  4. Step 4: Simplify right side
    2,164.13x = 2,811,839.23
  5. Step 5: Solve for x
    x = 2,811,839.23/2,164.13
  6. Step 6: Final answer
    x = 1,299.29

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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.