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Finding the Fourth Proportional to 2,833.32, 3,907.26 and 2,413.20

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Solution

The fourth proportional to 2,833.32, 3,907.26 and 2,413.20 is: 3,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.32 : 3,907.26 = 2,413.20 : x
  2. Step 2: Convert to fraction form
    2,833.32/3,907.26 = 2,413.20/x
  3. Step 3: Cross multiply
    2,833.32x = 3,907.26 × 2,413.20
  4. Step 4: Simplify right side
    2,833.32x = 9,428,999.83
  5. Step 5: Solve for x
    x = 9,428,999.83/2,833.32
  6. Step 6: Final answer
    x = 3,327.90

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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.