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Finding the Fourth Proportional to 1,634.31, 2,451.42 and 401.67

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Solution

The fourth proportional to 1,634.31, 2,451.42 and 401.67 is: 602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.31 : 2,451.42 = 401.67 : x
  2. Step 2: Convert to fraction form
    1,634.31/2,451.42 = 401.67/x
  3. Step 3: Cross multiply
    1,634.31x = 2,451.42 × 401.67
  4. Step 4: Simplify right side
    1,634.31x = 984,661.87
  5. Step 5: Solve for x
    x = 984,661.87/1,634.31
  6. Step 6: Final answer
    x = 602.49

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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.