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Finding the Fourth Proportional to 1,634.14, 2,255.11 and 888.09

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Solution

The fourth proportional to 1,634.14, 2,255.11 and 888.09 is: 1,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.14 : 2,255.11 = 888.09 : x
  2. Step 2: Convert to fraction form
    1,634.14/2,255.11 = 888.09/x
  3. Step 3: Cross multiply
    1,634.14x = 2,255.11 × 888.09
  4. Step 4: Simplify right side
    1,634.14x = 2,002,744.57
  5. Step 5: Solve for x
    x = 2,002,744.57/1,634.14
  6. Step 6: Final answer
    x = 1,225.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.