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Finding the Fourth Proportional to 1,683, 2,524.23 and 1,194.57

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Solution

The fourth proportional to 1,683, 2,524.23 and 1,194.57 is: 1,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683 : 2,524.23 = 1,194.57 : x
  2. Step 2: Convert to fraction form
    1,683/2,524.23 = 1,194.57/x
  3. Step 3: Cross multiply
    1,683x = 2,524.23 × 1,194.57
  4. Step 4: Simplify right side
    1,683x = 3,015,369.43
  5. Step 5: Solve for x
    x = 3,015,369.43/1,683
  6. Step 6: Final answer
    x = 1,791.66

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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.