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Finding the Fourth Proportional to 2,413.08, 3,322.62 and 1,914.12

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Solution

The fourth proportional to 2,413.08, 3,322.62 and 1,914.12 is: 2,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.08 : 3,322.62 = 1,914.12 : x
  2. Step 2: Convert to fraction form
    2,413.08/3,322.62 = 1,914.12/x
  3. Step 3: Cross multiply
    2,413.08x = 3,322.62 × 1,914.12
  4. Step 4: Simplify right side
    2,413.08x = 6,359,893.39
  5. Step 5: Solve for x
    x = 6,359,893.39/2,413.08
  6. Step 6: Final answer
    x = 2,635.59

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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.