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Finding the Fourth Proportional to 2,512.64, 3,797.44 and 2,469.51

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Solution

The fourth proportional to 2,512.64, 3,797.44 and 2,469.51 is: 3,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.64 : 3,797.44 = 2,469.51 : x
  2. Step 2: Convert to fraction form
    2,512.64/3,797.44 = 2,469.51/x
  3. Step 3: Cross multiply
    2,512.64x = 3,797.44 × 2,469.51
  4. Step 4: Simplify right side
    2,512.64x = 9,377,809.88
  5. Step 5: Solve for x
    x = 9,377,809.88/2,512.64
  6. Step 6: Final answer
    x = 3,732.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.