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Finding the Fourth Proportional to 3,410.96, 5,111.58 and 1,680.80

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Solution

The fourth proportional to 3,410.96, 5,111.58 and 1,680.80 is: 2,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.96 : 5,111.58 = 1,680.80 : x
  2. Step 2: Convert to fraction form
    3,410.96/5,111.58 = 1,680.80/x
  3. Step 3: Cross multiply
    3,410.96x = 5,111.58 × 1,680.80
  4. Step 4: Simplify right side
    3,410.96x = 8,591,543.66
  5. Step 5: Solve for x
    x = 8,591,543.66/3,410.96
  6. Step 6: Final answer
    x = 2,518.81

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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.