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Finding the Fourth Proportional to 3,194.46, 4,787.26 and 1,787.62

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Solution

The fourth proportional to 3,194.46, 4,787.26 and 1,787.62 is: 2,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.46 : 4,787.26 = 1,787.62 : x
  2. Step 2: Convert to fraction form
    3,194.46/4,787.26 = 1,787.62/x
  3. Step 3: Cross multiply
    3,194.46x = 4,787.26 × 1,787.62
  4. Step 4: Simplify right side
    3,194.46x = 8,557,801.72
  5. Step 5: Solve for x
    x = 8,557,801.72/3,194.46
  6. Step 6: Final answer
    x = 2,678.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.