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Finding the Fourth Proportional to 3,102.82, 4,280.16 and 1,906.98

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Solution

The fourth proportional to 3,102.82, 4,280.16 and 1,906.98 is: 2,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.82 : 4,280.16 = 1,906.98 : x
  2. Step 2: Convert to fraction form
    3,102.82/4,280.16 = 1,906.98/x
  3. Step 3: Cross multiply
    3,102.82x = 4,280.16 × 1,906.98
  4. Step 4: Simplify right side
    3,102.82x = 8,162,179.52
  5. Step 5: Solve for x
    x = 8,162,179.52/3,102.82
  6. Step 6: Final answer
    x = 2,630.57

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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.