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Finding the Fourth Proportional to 1,413.21, 1,949.55 and 889.14

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Solution

The fourth proportional to 1,413.21, 1,949.55 and 889.14 is: 1,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.21 : 1,949.55 = 889.14 : x
  2. Step 2: Convert to fraction form
    1,413.21/1,949.55 = 889.14/x
  3. Step 3: Cross multiply
    1,413.21x = 1,949.55 × 889.14
  4. Step 4: Simplify right side
    1,413.21x = 1,733,422.89
  5. Step 5: Solve for x
    x = 1,733,422.89/1,413.21
  6. Step 6: Final answer
    x = 1,226.59

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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.