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Finding the Fourth Proportional to 1,634.29, 2,255.34 and 888.26

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Solution

The fourth proportional to 1,634.29, 2,255.34 and 888.26 is: 1,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.29 : 2,255.34 = 888.26 : x
  2. Step 2: Convert to fraction form
    1,634.29/2,255.34 = 888.26/x
  3. Step 3: Cross multiply
    1,634.29x = 2,255.34 × 888.26
  4. Step 4: Simplify right side
    1,634.29x = 2,003,323.87
  5. Step 5: Solve for x
    x = 2,003,323.87/1,634.29
  6. Step 6: Final answer
    x = 1,225.81

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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.