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Finding the Fourth Proportional to 1,915.03, 2,874.57 and 941.82

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Solution

The fourth proportional to 1,915.03, 2,874.57 and 941.82 is: 1,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.03 : 2,874.57 = 941.82 : x
  2. Step 2: Convert to fraction form
    1,915.03/2,874.57 = 941.82/x
  3. Step 3: Cross multiply
    1,915.03x = 2,874.57 × 941.82
  4. Step 4: Simplify right side
    1,915.03x = 2,707,327.52
  5. Step 5: Solve for x
    x = 2,707,327.52/1,915.03
  6. Step 6: Final answer
    x = 1,413.73

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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.