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Finding the Fourth Proportional to 1,634.36, 2,255.36 and 888.31

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Solution

The fourth proportional to 1,634.36, 2,255.36 and 888.31 is: 1,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.36 : 2,255.36 = 888.31 : x
  2. Step 2: Convert to fraction form
    1,634.36/2,255.36 = 888.31/x
  3. Step 3: Cross multiply
    1,634.36x = 2,255.36 × 888.31
  4. Step 4: Simplify right side
    1,634.36x = 2,003,453.33
  5. Step 5: Solve for x
    x = 2,003,453.33/1,634.36
  6. Step 6: Final answer
    x = 1,225.83

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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.