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Finding the Fourth Proportional to 2,507.97, 3,762.60 and 864.54

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Solution

The fourth proportional to 2,507.97, 3,762.60 and 864.54 is: 1,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.97 : 3,762.60 = 864.54 : x
  2. Step 2: Convert to fraction form
    2,507.97/3,762.60 = 864.54/x
  3. Step 3: Cross multiply
    2,507.97x = 3,762.60 × 864.54
  4. Step 4: Simplify right side
    2,507.97x = 3,252,918.20
  5. Step 5: Solve for x
    x = 3,252,918.20/2,507.97
  6. Step 6: Final answer
    x = 1,297.03

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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.