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Finding the Fourth Proportional to 1,413.36, 1,949.04 and 889.20

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Solution

The fourth proportional to 1,413.36, 1,949.04 and 889.20 is: 1,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.36 : 1,949.04 = 889.20 : x
  2. Step 2: Convert to fraction form
    1,413.36/1,949.04 = 889.20/x
  3. Step 3: Cross multiply
    1,413.36x = 1,949.04 × 889.20
  4. Step 4: Simplify right side
    1,413.36x = 1,733,086.37
  5. Step 5: Solve for x
    x = 1,733,086.37/1,413.36
  6. Step 6: Final answer
    x = 1,226.22

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Why These Related Problems?

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