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Finding the Fourth Proportional to 2,561.85, 3,843.40 and 895.73

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Solution

The fourth proportional to 2,561.85, 3,843.40 and 895.73 is: 1,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.85 : 3,843.40 = 895.73 : x
  2. Step 2: Convert to fraction form
    2,561.85/3,843.40 = 895.73/x
  3. Step 3: Cross multiply
    2,561.85x = 3,843.40 × 895.73
  4. Step 4: Simplify right side
    2,561.85x = 3,442,661.33
  5. Step 5: Solve for x
    x = 3,442,661.33/2,561.85
  6. Step 6: Final answer
    x = 1,343.82

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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.