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Finding the Fourth Proportional to 2,636.78, 3,954.84 and 1,649.68

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Solution

The fourth proportional to 2,636.78, 3,954.84 and 1,649.68 is: 2,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.78 : 3,954.84 = 1,649.68 : x
  2. Step 2: Convert to fraction form
    2,636.78/3,954.84 = 1,649.68/x
  3. Step 3: Cross multiply
    2,636.78x = 3,954.84 × 1,649.68
  4. Step 4: Simplify right side
    2,636.78x = 6,524,220.45
  5. Step 5: Solve for x
    x = 6,524,220.45/2,636.78
  6. Step 6: Final answer
    x = 2,474.31

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1.5x scale

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.