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Finding the Fourth Proportional to 2,128.52, 3,194.01 and 895.85

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Solution

The fourth proportional to 2,128.52, 3,194.01 and 895.85 is: 1,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.52 : 3,194.01 = 895.85 : x
  2. Step 2: Convert to fraction form
    2,128.52/3,194.01 = 895.85/x
  3. Step 3: Cross multiply
    2,128.52x = 3,194.01 × 895.85
  4. Step 4: Simplify right side
    2,128.52x = 2,861,337.89
  5. Step 5: Solve for x
    x = 2,861,337.89/2,128.52
  6. Step 6: Final answer
    x = 1,344.29

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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.