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Finding the Fourth Proportional to 3,093.96, 4,634.46 and 1,363.80

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Solution

The fourth proportional to 3,093.96, 4,634.46 and 1,363.80 is: 2,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.96 : 4,634.46 = 1,363.80 : x
  2. Step 2: Convert to fraction form
    3,093.96/4,634.46 = 1,363.80/x
  3. Step 3: Cross multiply
    3,093.96x = 4,634.46 × 1,363.80
  4. Step 4: Simplify right side
    3,093.96x = 6,320,476.55
  5. Step 5: Solve for x
    x = 6,320,476.55/3,093.96
  6. Step 6: Final answer
    x = 2,042.84

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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.