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Finding the Fourth Proportional to 1,992.36, 2,987.82 and 822.31

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Solution

The fourth proportional to 1,992.36, 2,987.82 and 822.31 is: 1,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.36 : 2,987.82 = 822.31 : x
  2. Step 2: Convert to fraction form
    1,992.36/2,987.82 = 822.31/x
  3. Step 3: Cross multiply
    1,992.36x = 2,987.82 × 822.31
  4. Step 4: Simplify right side
    1,992.36x = 2,456,914.26
  5. Step 5: Solve for x
    x = 2,456,914.26/1,992.36
  6. Step 6: Final answer
    x = 1,233.17

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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.