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Finding the Fourth Proportional to 1,394.27, 1,924.67 and 1,023.90

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Solution

The fourth proportional to 1,394.27, 1,924.67 and 1,023.90 is: 1,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.27 : 1,924.67 = 1,023.90 : x
  2. Step 2: Convert to fraction form
    1,394.27/1,924.67 = 1,023.90/x
  3. Step 3: Cross multiply
    1,394.27x = 1,924.67 × 1,023.90
  4. Step 4: Simplify right side
    1,394.27x = 1,970,669.61
  5. Step 5: Solve for x
    x = 1,970,669.61/1,394.27
  6. Step 6: Final answer
    x = 1,413.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.