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Finding the Fourth Proportional to 2,413.89, 3,619.13 and 1,026.51

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Solution

The fourth proportional to 2,413.89, 3,619.13 and 1,026.51 is: 1,539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.89 : 3,619.13 = 1,026.51 : x
  2. Step 2: Convert to fraction form
    2,413.89/3,619.13 = 1,026.51/x
  3. Step 3: Cross multiply
    2,413.89x = 3,619.13 × 1,026.51
  4. Step 4: Simplify right side
    2,413.89x = 3,715,054.43
  5. Step 5: Solve for x
    x = 3,715,054.43/2,413.89
  6. Step 6: Final answer
    x = 1,539.03

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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.