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Finding the Fourth Proportional to 1,825.89, 2,736.27 and 1,413.14

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Solution

The fourth proportional to 1,825.89, 2,736.27 and 1,413.14 is: 2,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.89 : 2,736.27 = 1,413.14 : x
  2. Step 2: Convert to fraction form
    1,825.89/2,736.27 = 1,413.14/x
  3. Step 3: Cross multiply
    1,825.89x = 2,736.27 × 1,413.14
  4. Step 4: Simplify right side
    1,825.89x = 3,866,718.91
  5. Step 5: Solve for x
    x = 3,866,718.91/1,825.89
  6. Step 6: Final answer
    x = 2,117.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.