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Finding the Fourth Proportional to 2,413.67, 3,619.57 and 853.38

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Solution

The fourth proportional to 2,413.67, 3,619.57 and 853.38 is: 1,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.67 : 3,619.57 = 853.38 : x
  2. Step 2: Convert to fraction form
    2,413.67/3,619.57 = 853.38/x
  3. Step 3: Cross multiply
    2,413.67x = 3,619.57 × 853.38
  4. Step 4: Simplify right side
    2,413.67x = 3,088,868.65
  5. Step 5: Solve for x
    x = 3,088,868.65/2,413.67
  6. Step 6: Final answer
    x = 1,279.74

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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.