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Finding the Fourth Proportional to 1,413.45, 1,946.43 and 1,019.79

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Solution

The fourth proportional to 1,413.45, 1,946.43 and 1,019.79 is: 1,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.45 : 1,946.43 = 1,019.79 : x
  2. Step 2: Convert to fraction form
    1,413.45/1,946.43 = 1,019.79/x
  3. Step 3: Cross multiply
    1,413.45x = 1,946.43 × 1,019.79
  4. Step 4: Simplify right side
    1,413.45x = 1,984,949.85
  5. Step 5: Solve for x
    x = 1,984,949.85/1,413.45
  6. Step 6: Final answer
    x = 1,404.33

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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.