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Finding the Fourth Proportional to 3,086.79, 4,622.77 and 1,766.54

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Solution

The fourth proportional to 3,086.79, 4,622.77 and 1,766.54 is: 2,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.79 : 4,622.77 = 1,766.54 : x
  2. Step 2: Convert to fraction form
    3,086.79/4,622.77 = 1,766.54/x
  3. Step 3: Cross multiply
    3,086.79x = 4,622.77 × 1,766.54
  4. Step 4: Simplify right side
    3,086.79x = 8,166,308.12
  5. Step 5: Solve for x
    x = 8,166,308.12/3,086.79
  6. Step 6: Final answer
    x = 2,645.57

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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.