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Finding the Fourth Proportional to 1,634.70, 2,452 and 402.12

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Solution

The fourth proportional to 1,634.70, 2,452 and 402.12 is: 603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.70 : 2,452 = 402.12 : x
  2. Step 2: Convert to fraction form
    1,634.70/2,452 = 402.12/x
  3. Step 3: Cross multiply
    1,634.70x = 2,452 × 402.12
  4. Step 4: Simplify right side
    1,634.70x = 985,998.24
  5. Step 5: Solve for x
    x = 985,998.24/1,634.70
  6. Step 6: Final answer
    x = 603.17

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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.