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Finding the Fourth Proportional to 2,010.86, 2,775.56 and 1,413.49

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Solution

The fourth proportional to 2,010.86, 2,775.56 and 1,413.49 is: 1,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.86 : 2,775.56 = 1,413.49 : x
  2. Step 2: Convert to fraction form
    2,010.86/2,775.56 = 1,413.49/x
  3. Step 3: Cross multiply
    2,010.86x = 2,775.56 × 1,413.49
  4. Step 4: Simplify right side
    2,010.86x = 3,923,226.30
  5. Step 5: Solve for x
    x = 3,923,226.30/2,010.86
  6. Step 6: Final answer
    x = 1,951.02

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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.