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Finding the Fourth Proportional to 2,521.36, 3,781.51 and 960.82

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Solution

The fourth proportional to 2,521.36, 3,781.51 and 960.82 is: 1,441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.36 : 3,781.51 = 960.82 : x
  2. Step 2: Convert to fraction form
    2,521.36/3,781.51 = 960.82/x
  3. Step 3: Cross multiply
    2,521.36x = 3,781.51 × 960.82
  4. Step 4: Simplify right side
    2,521.36x = 3,633,350.44
  5. Step 5: Solve for x
    x = 3,633,350.44/2,521.36
  6. Step 6: Final answer
    x = 1,441.03

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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.