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Finding the Fourth Proportional to 2,974.60, 4,104.97 and 1,648.33

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Solution

The fourth proportional to 2,974.60, 4,104.97 and 1,648.33 is: 2,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.60 : 4,104.97 = 1,648.33 : x
  2. Step 2: Convert to fraction form
    2,974.60/4,104.97 = 1,648.33/x
  3. Step 3: Cross multiply
    2,974.60x = 4,104.97 × 1,648.33
  4. Step 4: Simplify right side
    2,974.60x = 6,766,340.07
  5. Step 5: Solve for x
    x = 6,766,340.07/2,974.60
  6. Step 6: Final answer
    x = 2,274.71

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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.