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Finding the Fourth Proportional to 2,507.03, 3,762.08 and 864.73

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Solution

The fourth proportional to 2,507.03, 3,762.08 and 864.73 is: 1,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.03 : 3,762.08 = 864.73 : x
  2. Step 2: Convert to fraction form
    2,507.03/3,762.08 = 864.73/x
  3. Step 3: Cross multiply
    2,507.03x = 3,762.08 × 864.73
  4. Step 4: Simplify right side
    2,507.03x = 3,253,183.44
  5. Step 5: Solve for x
    x = 3,253,183.44/2,507.03
  6. Step 6: Final answer
    x = 1,297.62

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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.