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Finding the Fourth Proportional to 2,063.07, 3,094.00 and 601.73

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Solution

The fourth proportional to 2,063.07, 3,094.00 and 601.73 is: 902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.07 : 3,094.00 = 601.73 : x
  2. Step 2: Convert to fraction form
    2,063.07/3,094.00 = 601.73/x
  3. Step 3: Cross multiply
    2,063.07x = 3,094.00 × 601.73
  4. Step 4: Simplify right side
    2,063.07x = 1,861,747.25
  5. Step 5: Solve for x
    x = 1,861,747.25/2,063.07
  6. Step 6: Final answer
    x = 902.42

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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.