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Finding the Fourth Proportional to 2,111.67, 2,913.57 and 1,413.18

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Solution

The fourth proportional to 2,111.67, 2,913.57 and 1,413.18 is: 1,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.67 : 2,913.57 = 1,413.18 : x
  2. Step 2: Convert to fraction form
    2,111.67/2,913.57 = 1,413.18/x
  3. Step 3: Cross multiply
    2,111.67x = 2,913.57 × 1,413.18
  4. Step 4: Simplify right side
    2,111.67x = 4,117,398.85
  5. Step 5: Solve for x
    x = 4,117,398.85/2,111.67
  6. Step 6: Final answer
    x = 1,949.83

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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.