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Finding the Fourth Proportional to 3,414.54, 4,711.79 and 1,922.19

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Solution

The fourth proportional to 3,414.54, 4,711.79 and 1,922.19 is: 2,652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.54 : 4,711.79 = 1,922.19 : x
  2. Step 2: Convert to fraction form
    3,414.54/4,711.79 = 1,922.19/x
  3. Step 3: Cross multiply
    3,414.54x = 4,711.79 × 1,922.19
  4. Step 4: Simplify right side
    3,414.54x = 9,056,922.45
  5. Step 5: Solve for x
    x = 9,056,922.45/3,414.54
  6. Step 6: Final answer
    x = 2,652.46

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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.