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Finding the Fourth Proportional to 2,039.35, 3,058.54 and 942.66

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Solution

The fourth proportional to 2,039.35, 3,058.54 and 942.66 is: 1,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.35 : 3,058.54 = 942.66 : x
  2. Step 2: Convert to fraction form
    2,039.35/3,058.54 = 942.66/x
  3. Step 3: Cross multiply
    2,039.35x = 3,058.54 × 942.66
  4. Step 4: Simplify right side
    2,039.35x = 2,883,163.32
  5. Step 5: Solve for x
    x = 2,883,163.32/2,039.35
  6. Step 6: Final answer
    x = 1,413.77

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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.