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Finding the Fourth Proportional to 2,096.67, 3,146.49 and 864.15

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Solution

The fourth proportional to 2,096.67, 3,146.49 and 864.15 is: 1,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.67 : 3,146.49 = 864.15 : x
  2. Step 2: Convert to fraction form
    2,096.67/3,146.49 = 864.15/x
  3. Step 3: Cross multiply
    2,096.67x = 3,146.49 × 864.15
  4. Step 4: Simplify right side
    2,096.67x = 2,719,039.33
  5. Step 5: Solve for x
    x = 2,719,039.33/2,096.67
  6. Step 6: Final answer
    x = 1,296.84

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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.