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Finding the Fourth Proportional to 1,634.09, 2,451.06 and 401.49

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Solution

The fourth proportional to 1,634.09, 2,451.06 and 401.49 is: 602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.09 : 2,451.06 = 401.49 : x
  2. Step 2: Convert to fraction form
    1,634.09/2,451.06 = 401.49/x
  3. Step 3: Cross multiply
    1,634.09x = 2,451.06 × 401.49
  4. Step 4: Simplify right side
    1,634.09x = 984,076.08
  5. Step 5: Solve for x
    x = 984,076.08/1,634.09
  6. Step 6: Final answer
    x = 602.22

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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.