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Finding the Fourth Proportional to 2,561.43, 3,841.05 and 1,079.68

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Solution

The fourth proportional to 2,561.43, 3,841.05 and 1,079.68 is: 1,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.43 : 3,841.05 = 1,079.68 : x
  2. Step 2: Convert to fraction form
    2,561.43/3,841.05 = 1,079.68/x
  3. Step 3: Cross multiply
    2,561.43x = 3,841.05 × 1,079.68
  4. Step 4: Simplify right side
    2,561.43x = 4,147,104.86
  5. Step 5: Solve for x
    x = 4,147,104.86/2,561.43
  6. Step 6: Final answer
    x = 1,619.06

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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.