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Finding the Fourth Proportional to 2,063.97, 3,096.09 and 603

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Solution

The fourth proportional to 2,063.97, 3,096.09 and 603 is: 904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.97 : 3,096.09 = 603 : x
  2. Step 2: Convert to fraction form
    2,063.97/3,096.09 = 603/x
  3. Step 3: Cross multiply
    2,063.97x = 3,096.09 × 603
  4. Step 4: Simplify right side
    2,063.97x = 1,866,942.27
  5. Step 5: Solve for x
    x = 1,866,942.27/2,063.97
  6. Step 6: Final answer
    x = 904.54

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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.