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Finding the Fourth Proportional to 2,916.43, 4,375.49 and 942.36

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Solution

The fourth proportional to 2,916.43, 4,375.49 and 942.36 is: 1,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.43 : 4,375.49 = 942.36 : x
  2. Step 2: Convert to fraction form
    2,916.43/4,375.49 = 942.36/x
  3. Step 3: Cross multiply
    2,916.43x = 4,375.49 × 942.36
  4. Step 4: Simplify right side
    2,916.43x = 4,123,286.76
  5. Step 5: Solve for x
    x = 4,123,286.76/2,916.43
  6. Step 6: Final answer
    x = 1,413.81

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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.