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Finding the Fourth Proportional to 2,111.82, 2,913.21 and 1,413.06

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Solution

The fourth proportional to 2,111.82, 2,913.21 and 1,413.06 is: 1,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.82 : 2,913.21 = 1,413.06 : x
  2. Step 2: Convert to fraction form
    2,111.82/2,913.21 = 1,413.06/x
  3. Step 3: Cross multiply
    2,111.82x = 2,913.21 × 1,413.06
  4. Step 4: Simplify right side
    2,111.82x = 4,116,540.52
  5. Step 5: Solve for x
    x = 4,116,540.52/2,111.82
  6. Step 6: Final answer
    x = 1,949.29

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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.