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Finding the Fourth Proportional to 2,413.76, 3,636.86 and 2,182.91

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Solution

The fourth proportional to 2,413.76, 3,636.86 and 2,182.91 is: 3,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.76 : 3,636.86 = 2,182.91 : x
  2. Step 2: Convert to fraction form
    2,413.76/3,636.86 = 2,182.91/x
  3. Step 3: Cross multiply
    2,413.76x = 3,636.86 × 2,182.91
  4. Step 4: Simplify right side
    2,413.76x = 7,938,908.96
  5. Step 5: Solve for x
    x = 7,938,908.96/2,413.76
  6. Step 6: Final answer
    x = 3,289.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.