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Finding the Fourth Proportional to 2,974.78, 4,104.81 and 1,648.42

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Solution

The fourth proportional to 2,974.78, 4,104.81 and 1,648.42 is: 2,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.78 : 4,104.81 = 1,648.42 : x
  2. Step 2: Convert to fraction form
    2,974.78/4,104.81 = 1,648.42/x
  3. Step 3: Cross multiply
    2,974.78x = 4,104.81 × 1,648.42
  4. Step 4: Simplify right side
    2,974.78x = 6,766,450.90
  5. Step 5: Solve for x
    x = 6,766,450.90/2,974.78
  6. Step 6: Final answer
    x = 2,274.61

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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.