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Finding the Fourth Proportional to 2,792.34, 4,186.86 and 942.94

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Solution

The fourth proportional to 2,792.34, 4,186.86 and 942.94 is: 1,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.34 : 4,186.86 = 942.94 : x
  2. Step 2: Convert to fraction form
    2,792.34/4,186.86 = 942.94/x
  3. Step 3: Cross multiply
    2,792.34x = 4,186.86 × 942.94
  4. Step 4: Simplify right side
    2,792.34x = 3,947,959.47
  5. Step 5: Solve for x
    x = 3,947,959.47/2,792.34
  6. Step 6: Final answer
    x = 1,413.85

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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.