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Finding the Fourth Proportional to 2,413.14, 3,620.19 and 853.20

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Solution

The fourth proportional to 2,413.14, 3,620.19 and 853.20 is: 1,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.14 : 3,620.19 = 853.20 : x
  2. Step 2: Convert to fraction form
    2,413.14/3,620.19 = 853.20/x
  3. Step 3: Cross multiply
    2,413.14x = 3,620.19 × 853.20
  4. Step 4: Simplify right side
    2,413.14x = 3,088,746.11
  5. Step 5: Solve for x
    x = 3,088,746.11/2,413.14
  6. Step 6: Final answer
    x = 1,279.97

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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.