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Finding the Fourth Proportional to 3,414.53, 4,712.49 and 1,922.73

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Solution

The fourth proportional to 3,414.53, 4,712.49 and 1,922.73 is: 2,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.53 : 4,712.49 = 1,922.73 : x
  2. Step 2: Convert to fraction form
    3,414.53/4,712.49 = 1,922.73/x
  3. Step 3: Cross multiply
    3,414.53x = 4,712.49 × 1,922.73
  4. Step 4: Simplify right side
    3,414.53x = 9,060,845.90
  5. Step 5: Solve for x
    x = 9,060,845.90/3,414.53
  6. Step 6: Final answer
    x = 2,653.62

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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.