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Finding the Fourth Proportional to 1,845.79, 2,766.84 and 674.85

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Solution

The fourth proportional to 1,845.79, 2,766.84 and 674.85 is: 1,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.79 : 2,766.84 = 674.85 : x
  2. Step 2: Convert to fraction form
    1,845.79/2,766.84 = 674.85/x
  3. Step 3: Cross multiply
    1,845.79x = 2,766.84 × 674.85
  4. Step 4: Simplify right side
    1,845.79x = 1,867,201.97
  5. Step 5: Solve for x
    x = 1,867,201.97/1,845.79
  6. Step 6: Final answer
    x = 1,011.60

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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.