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Finding the Fourth Proportional to 3,052.54, 4,579.62 and 1,297.62

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Solution

The fourth proportional to 3,052.54, 4,579.62 and 1,297.62 is: 1,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.54 : 4,579.62 = 1,297.62 : x
  2. Step 2: Convert to fraction form
    3,052.54/4,579.62 = 1,297.62/x
  3. Step 3: Cross multiply
    3,052.54x = 4,579.62 × 1,297.62
  4. Step 4: Simplify right side
    3,052.54x = 5,942,608.94
  5. Step 5: Solve for x
    x = 5,942,608.94/3,052.54
  6. Step 6: Final answer
    x = 1,946.78

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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.