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Finding the Fourth Proportional to 2,413.71, 3,621.02 and 1,097.55

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Solution

The fourth proportional to 2,413.71, 3,621.02 and 1,097.55 is: 1,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.71 : 3,621.02 = 1,097.55 : x
  2. Step 2: Convert to fraction form
    2,413.71/3,621.02 = 1,097.55/x
  3. Step 3: Cross multiply
    2,413.71x = 3,621.02 × 1,097.55
  4. Step 4: Simplify right side
    2,413.71x = 3,974,245.01
  5. Step 5: Solve for x
    x = 3,974,245.01/2,413.71
  6. Step 6: Final answer
    x = 1,646.53

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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.