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Finding the Fourth Proportional to 1,991.22, 2,986.98 and 604.47

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Solution

The fourth proportional to 1,991.22, 2,986.98 and 604.47 is: 906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.22 : 2,986.98 = 604.47 : x
  2. Step 2: Convert to fraction form
    1,991.22/2,986.98 = 604.47/x
  3. Step 3: Cross multiply
    1,991.22x = 2,986.98 × 604.47
  4. Step 4: Simplify right side
    1,991.22x = 1,805,539.80
  5. Step 5: Solve for x
    x = 1,805,539.80/1,991.22
  6. Step 6: Final answer
    x = 906.75

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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.