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Finding the Fourth Proportional to 3,100.68, 4,280.85 and 1,982.07

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Solution

The fourth proportional to 3,100.68, 4,280.85 and 1,982.07 is: 2,736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.68 : 4,280.85 = 1,982.07 : x
  2. Step 2: Convert to fraction form
    3,100.68/4,280.85 = 1,982.07/x
  3. Step 3: Cross multiply
    3,100.68x = 4,280.85 × 1,982.07
  4. Step 4: Simplify right side
    3,100.68x = 8,484,944.36
  5. Step 5: Solve for x
    x = 8,484,944.36/3,100.68
  6. Step 6: Final answer
    x = 2,736.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.