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Finding the Fourth Proportional to 1,413.36, 1,954.08 and 1,081.26

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Solution

The fourth proportional to 1,413.36, 1,954.08 and 1,081.26 is: 1,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.36 : 1,954.08 = 1,081.26 : x
  2. Step 2: Convert to fraction form
    1,413.36/1,954.08 = 1,081.26/x
  3. Step 3: Cross multiply
    1,413.36x = 1,954.08 × 1,081.26
  4. Step 4: Simplify right side
    1,413.36x = 2,112,868.54
  5. Step 5: Solve for x
    x = 2,112,868.54/1,413.36
  6. Step 6: Final answer
    x = 1,494.93

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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.