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Finding the Fourth Proportional to 2,561.86, 3,841.98 and 2,153.62

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Solution

The fourth proportional to 2,561.86, 3,841.98 and 2,153.62 is: 3,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.86 : 3,841.98 = 2,153.62 : x
  2. Step 2: Convert to fraction form
    2,561.86/3,841.98 = 2,153.62/x
  3. Step 3: Cross multiply
    2,561.86x = 3,841.98 × 2,153.62
  4. Step 4: Simplify right side
    2,561.86x = 8,274,164.97
  5. Step 5: Solve for x
    x = 8,274,164.97/2,561.86
  6. Step 6: Final answer
    x = 3,229.75

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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.