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Finding the Fourth Proportional to 1,634.43, 2,255.54 and 888.41

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Solution

The fourth proportional to 1,634.43, 2,255.54 and 888.41 is: 1,226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.43 : 2,255.54 = 888.41 : x
  2. Step 2: Convert to fraction form
    1,634.43/2,255.54 = 888.41/x
  3. Step 3: Cross multiply
    1,634.43x = 2,255.54 × 888.41
  4. Step 4: Simplify right side
    1,634.43x = 2,003,828.57
  5. Step 5: Solve for x
    x = 2,003,828.57/1,634.43
  6. Step 6: Final answer
    x = 1,226.01

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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.