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Finding the Fourth Proportional to 2,796.70, 4,198.10 and 1,627.98

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Solution

The fourth proportional to 2,796.70, 4,198.10 and 1,627.98 is: 2,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.70 : 4,198.10 = 1,627.98 : x
  2. Step 2: Convert to fraction form
    2,796.70/4,198.10 = 1,627.98/x
  3. Step 3: Cross multiply
    2,796.70x = 4,198.10 × 1,627.98
  4. Step 4: Simplify right side
    2,796.70x = 6,834,422.84
  5. Step 5: Solve for x
    x = 6,834,422.84/2,796.70
  6. Step 6: Final answer
    x = 2,443.75

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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.