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Finding the Fourth Proportional to 2,164.30, 3,247.26 and 865.88

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Solution

The fourth proportional to 2,164.30, 3,247.26 and 865.88 is: 1,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.30 : 3,247.26 = 865.88 : x
  2. Step 2: Convert to fraction form
    2,164.30/3,247.26 = 865.88/x
  3. Step 3: Cross multiply
    2,164.30x = 3,247.26 × 865.88
  4. Step 4: Simplify right side
    2,164.30x = 2,811,737.49
  5. Step 5: Solve for x
    x = 2,811,737.49/2,164.30
  6. Step 6: Final answer
    x = 1,299.14

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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.