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Finding the Fourth Proportional to 2,128.81, 3,194.12 and 896.49

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Solution

The fourth proportional to 2,128.81, 3,194.12 and 896.49 is: 1,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.81 : 3,194.12 = 896.49 : x
  2. Step 2: Convert to fraction form
    2,128.81/3,194.12 = 896.49/x
  3. Step 3: Cross multiply
    2,128.81x = 3,194.12 × 896.49
  4. Step 4: Simplify right side
    2,128.81x = 2,863,496.64
  5. Step 5: Solve for x
    x = 2,863,496.64/2,128.81
  6. Step 6: Final answer
    x = 1,345.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.