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Finding the Fourth Proportional to 3,101.57, 4,280.83 and 1,906.55

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Solution

The fourth proportional to 3,101.57, 4,280.83 and 1,906.55 is: 2,631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.57 : 4,280.83 = 1,906.55 : x
  2. Step 2: Convert to fraction form
    3,101.57/4,280.83 = 1,906.55/x
  3. Step 3: Cross multiply
    3,101.57x = 4,280.83 × 1,906.55
  4. Step 4: Simplify right side
    3,101.57x = 8,161,590.27
  5. Step 5: Solve for x
    x = 8,161,590.27/3,101.57
  6. Step 6: Final answer
    x = 2,631.44

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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.