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Finding the Fourth Proportional to 2,974.54, 4,104.66 and 1,648.12

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Solution

The fourth proportional to 2,974.54, 4,104.66 and 1,648.12 is: 2,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.54 : 4,104.66 = 1,648.12 : x
  2. Step 2: Convert to fraction form
    2,974.54/4,104.66 = 1,648.12/x
  3. Step 3: Cross multiply
    2,974.54x = 4,104.66 × 1,648.12
  4. Step 4: Simplify right side
    2,974.54x = 6,764,972.24
  5. Step 5: Solve for x
    x = 6,764,972.24/2,974.54
  6. Step 6: Final answer
    x = 2,274.29

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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.