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Finding the Fourth Proportional to 2,128.26, 3,191.67 and 895.44

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Solution

The fourth proportional to 2,128.26, 3,191.67 and 895.44 is: 1,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.26 : 3,191.67 = 895.44 : x
  2. Step 2: Convert to fraction form
    2,128.26/3,191.67 = 895.44/x
  3. Step 3: Cross multiply
    2,128.26x = 3,191.67 × 895.44
  4. Step 4: Simplify right side
    2,128.26x = 2,857,948.98
  5. Step 5: Solve for x
    x = 2,857,948.98/2,128.26
  6. Step 6: Final answer
    x = 1,342.86

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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.