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Finding the Fourth Proportional to 1,896.96, 2,846.36 and 857.68

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Solution

The fourth proportional to 1,896.96, 2,846.36 and 857.68 is: 1,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.96 : 2,846.36 = 857.68 : x
  2. Step 2: Convert to fraction form
    1,896.96/2,846.36 = 857.68/x
  3. Step 3: Cross multiply
    1,896.96x = 2,846.36 × 857.68
  4. Step 4: Simplify right side
    1,896.96x = 2,441,266.04
  5. Step 5: Solve for x
    x = 2,441,266.04/1,896.96
  6. Step 6: Final answer
    x = 1,286.94

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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.