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Finding the Fourth Proportional to 1,916.17, 2,874.57 and 942.37

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Solution

The fourth proportional to 1,916.17, 2,874.57 and 942.37 is: 1,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.17 : 2,874.57 = 942.37 : x
  2. Step 2: Convert to fraction form
    1,916.17/2,874.57 = 942.37/x
  3. Step 3: Cross multiply
    1,916.17x = 2,874.57 × 942.37
  4. Step 4: Simplify right side
    1,916.17x = 2,708,908.53
  5. Step 5: Solve for x
    x = 2,708,908.53/1,916.17
  6. Step 6: Final answer
    x = 1,413.71

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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.