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Finding the Fourth Proportional to 2,452, 3,678 and 628

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Solution

The fourth proportional to 2,452, 3,678 and 628 is: 942

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452 : 3,678 = 628 : x
  2. Step 2: Convert to fraction form
    2,452/3,678 = 628/x
  3. Step 3: Cross multiply
    2,452x = 3,678 × 628
  4. Step 4: Simplify right side
    2,452x = 2,309,784
  5. Step 5: Solve for x
    x = 2,309,784/2,452
  6. Step 6: Final answer
    x = 942

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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.