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Finding the Fourth Proportional to 3,093.69, 4,642.82 and 2,274.18

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Solution

The fourth proportional to 3,093.69, 4,642.82 and 2,274.18 is: 3,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.69 : 4,642.82 = 2,274.18 : x
  2. Step 2: Convert to fraction form
    3,093.69/4,642.82 = 2,274.18/x
  3. Step 3: Cross multiply
    3,093.69x = 4,642.82 × 2,274.18
  4. Step 4: Simplify right side
    3,093.69x = 10,558,608.39
  5. Step 5: Solve for x
    x = 10,558,608.39/3,093.69
  6. Step 6: Final answer
    x = 3,412.95

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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.