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Finding the Fourth Proportional to 2,974.14, 4,102.05 and 2,504.55

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Solution

The fourth proportional to 2,974.14, 4,102.05 and 2,504.55 is: 3,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.14 : 4,102.05 = 2,504.55 : x
  2. Step 2: Convert to fraction form
    2,974.14/4,102.05 = 2,504.55/x
  3. Step 3: Cross multiply
    2,974.14x = 4,102.05 × 2,504.55
  4. Step 4: Simplify right side
    2,974.14x = 10,273,789.33
  5. Step 5: Solve for x
    x = 10,273,789.33/2,974.14
  6. Step 6: Final answer
    x = 3,454.37

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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.