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Finding the Fourth Proportional to 2,826.59, 4,239.96 and 2,413.12

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Solution

The fourth proportional to 2,826.59, 4,239.96 and 2,413.12 is: 3,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.59 : 4,239.96 = 2,413.12 : x
  2. Step 2: Convert to fraction form
    2,826.59/4,239.96 = 2,413.12/x
  3. Step 3: Cross multiply
    2,826.59x = 4,239.96 × 2,413.12
  4. Step 4: Simplify right side
    2,826.59x = 10,231,532.28
  5. Step 5: Solve for x
    x = 10,231,532.28/2,826.59
  6. Step 6: Final answer
    x = 3,619.74

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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.