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Finding the Fourth Proportional to 3,231.47, 4,837.62 and 1,994.90

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Solution

The fourth proportional to 3,231.47, 4,837.62 and 1,994.90 is: 2,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.47 : 4,837.62 = 1,994.90 : x
  2. Step 2: Convert to fraction form
    3,231.47/4,837.62 = 1,994.90/x
  3. Step 3: Cross multiply
    3,231.47x = 4,837.62 × 1,994.90
  4. Step 4: Simplify right side
    3,231.47x = 9,650,543.95
  5. Step 5: Solve for x
    x = 9,650,543.95/3,231.47
  6. Step 6: Final answer
    x = 2,986.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.