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Finding the Fourth Proportional to 2,450.72, 3,676.13 and 601.85

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Solution

The fourth proportional to 2,450.72, 3,676.13 and 601.85 is: 902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.72 : 3,676.13 = 601.85 : x
  2. Step 2: Convert to fraction form
    2,450.72/3,676.13 = 601.85/x
  3. Step 3: Cross multiply
    2,450.72x = 3,676.13 × 601.85
  4. Step 4: Simplify right side
    2,450.72x = 2,212,478.84
  5. Step 5: Solve for x
    x = 2,212,478.84/2,450.72
  6. Step 6: Final answer
    x = 902.79

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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.