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Finding the Fourth Proportional to 2,561.44, 3,843.69 and 1,328.84

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Solution

The fourth proportional to 2,561.44, 3,843.69 and 1,328.84 is: 1,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.44 : 3,843.69 = 1,328.84 : x
  2. Step 2: Convert to fraction form
    2,561.44/3,843.69 = 1,328.84/x
  3. Step 3: Cross multiply
    2,561.44x = 3,843.69 × 1,328.84
  4. Step 4: Simplify right side
    2,561.44x = 5,107,639.23
  5. Step 5: Solve for x
    x = 5,107,639.23/2,561.44
  6. Step 6: Final answer
    x = 1,994.05

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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.