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Finding the Fourth Proportional to 1,636, 2,454 and 420

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Solution

The fourth proportional to 1,636, 2,454 and 420 is: 630

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636 : 2,454 = 420 : x
  2. Step 2: Convert to fraction form
    1,636/2,454 = 420/x
  3. Step 3: Cross multiply
    1,636x = 2,454 × 420
  4. Step 4: Simplify right side
    1,636x = 1,030,680
  5. Step 5: Solve for x
    x = 1,030,680/1,636
  6. Step 6: Final answer
    x = 630

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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.