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Finding the Fourth Proportional to 1,635.29, 2,453.09 and 854.75

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Solution

The fourth proportional to 1,635.29, 2,453.09 and 854.75 is: 1,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.29 : 2,453.09 = 854.75 : x
  2. Step 2: Convert to fraction form
    1,635.29/2,453.09 = 854.75/x
  3. Step 3: Cross multiply
    1,635.29x = 2,453.09 × 854.75
  4. Step 4: Simplify right side
    1,635.29x = 2,096,780.54
  5. Step 5: Solve for x
    x = 2,096,780.54/1,635.29
  6. Step 6: Final answer
    x = 1,282.21

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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.