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Finding the Fourth Proportional to 2,413.52, 3,620.58 and 853.20

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Solution

The fourth proportional to 2,413.52, 3,620.58 and 853.20 is: 1,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.52 : 3,620.58 = 853.20 : x
  2. Step 2: Convert to fraction form
    2,413.52/3,620.58 = 853.20/x
  3. Step 3: Cross multiply
    2,413.52x = 3,620.58 × 853.20
  4. Step 4: Simplify right side
    2,413.52x = 3,089,087.91
  5. Step 5: Solve for x
    x = 3,089,087.91/2,413.52
  6. Step 6: Final answer
    x = 1,279.91

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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.