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Finding the Fourth Proportional to 2,039.34, 3,058.57 and 942.67

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Solution

The fourth proportional to 2,039.34, 3,058.57 and 942.67 is: 1,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.34 : 3,058.57 = 942.67 : x
  2. Step 2: Convert to fraction form
    2,039.34/3,058.57 = 942.67/x
  3. Step 3: Cross multiply
    2,039.34x = 3,058.57 × 942.67
  4. Step 4: Simplify right side
    2,039.34x = 2,883,202.18
  5. Step 5: Solve for x
    x = 2,883,202.18/2,039.34
  6. Step 6: Final answer
    x = 1,413.79

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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.