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Finding the Fourth Proportional to 2,326.23, 3,490.38 and 942.27

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Solution

The fourth proportional to 2,326.23, 3,490.38 and 942.27 is: 1,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.23 : 3,490.38 = 942.27 : x
  2. Step 2: Convert to fraction form
    2,326.23/3,490.38 = 942.27/x
  3. Step 3: Cross multiply
    2,326.23x = 3,490.38 × 942.27
  4. Step 4: Simplify right side
    2,326.23x = 3,288,880.36
  5. Step 5: Solve for x
    x = 3,288,880.36/2,326.23
  6. Step 6: Final answer
    x = 1,413.82

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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.