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Finding the Fourth Proportional to 3,096.92, 4,645.02 and 905.42

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Solution

The fourth proportional to 3,096.92, 4,645.02 and 905.42 is: 1,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.92 : 4,645.02 = 905.42 : x
  2. Step 2: Convert to fraction form
    3,096.92/4,645.02 = 905.42/x
  3. Step 3: Cross multiply
    3,096.92x = 4,645.02 × 905.42
  4. Step 4: Simplify right side
    3,096.92x = 4,205,694.01
  5. Step 5: Solve for x
    x = 4,205,694.01/3,096.92
  6. Step 6: Final answer
    x = 1,358.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.