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Finding the Fourth Proportional to 2,974.31, 4,104.39 and 1,647.99

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Solution

The fourth proportional to 2,974.31, 4,104.39 and 1,647.99 is: 2,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.31 : 4,104.39 = 1,647.99 : x
  2. Step 2: Convert to fraction form
    2,974.31/4,104.39 = 1,647.99/x
  3. Step 3: Cross multiply
    2,974.31x = 4,104.39 × 1,647.99
  4. Step 4: Simplify right side
    2,974.31x = 6,763,993.68
  5. Step 5: Solve for x
    x = 6,763,993.68/2,974.31
  6. Step 6: Final answer
    x = 2,274.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.