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Finding the Fourth Proportional to 2,766.94, 4,152.23 and 1,469.32

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Solution

The fourth proportional to 2,766.94, 4,152.23 and 1,469.32 is: 2,204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.94 : 4,152.23 = 1,469.32 : x
  2. Step 2: Convert to fraction form
    2,766.94/4,152.23 = 1,469.32/x
  3. Step 3: Cross multiply
    2,766.94x = 4,152.23 × 1,469.32
  4. Step 4: Simplify right side
    2,766.94x = 6,100,954.58
  5. Step 5: Solve for x
    x = 6,100,954.58/2,766.94
  6. Step 6: Final answer
    x = 2,204.95

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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.