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Finding the Fourth Proportional to 2,096.36, 3,143.54 and 634.92

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Solution

The fourth proportional to 2,096.36, 3,143.54 and 634.92 is: 952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.36 : 3,143.54 = 634.92 : x
  2. Step 2: Convert to fraction form
    2,096.36/3,143.54 = 634.92/x
  3. Step 3: Cross multiply
    2,096.36x = 3,143.54 × 634.92
  4. Step 4: Simplify right side
    2,096.36x = 1,995,896.42
  5. Step 5: Solve for x
    x = 1,995,896.42/2,096.36
  6. Step 6: Final answer
    x = 952.08

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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.