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Finding the Fourth Proportional to 1,872.82, 2,809.22 and 640.24

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Solution

The fourth proportional to 1,872.82, 2,809.22 and 640.24 is: 960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.82 : 2,809.22 = 640.24 : x
  2. Step 2: Convert to fraction form
    1,872.82/2,809.22 = 640.24/x
  3. Step 3: Cross multiply
    1,872.82x = 2,809.22 × 640.24
  4. Step 4: Simplify right side
    1,872.82x = 1,798,560.97
  5. Step 5: Solve for x
    x = 1,798,560.97/1,872.82
  6. Step 6: Final answer
    x = 960.35

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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.