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Finding the Fourth Proportional to 3,102.68, 4,279.96 and 1,906.83

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Solution

The fourth proportional to 3,102.68, 4,279.96 and 1,906.83 is: 2,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.68 : 4,279.96 = 1,906.83 : x
  2. Step 2: Convert to fraction form
    3,102.68/4,279.96 = 1,906.83/x
  3. Step 3: Cross multiply
    3,102.68x = 4,279.96 × 1,906.83
  4. Step 4: Simplify right side
    3,102.68x = 8,161,135.89
  5. Step 5: Solve for x
    x = 8,161,135.89/3,102.68
  6. Step 6: Final answer
    x = 2,630.35

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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.