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Finding the Fourth Proportional to 2,975.45, 4,106.22 and 1,796.29

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Solution

The fourth proportional to 2,975.45, 4,106.22 and 1,796.29 is: 2,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.45 : 4,106.22 = 1,796.29 : x
  2. Step 2: Convert to fraction form
    2,975.45/4,106.22 = 1,796.29/x
  3. Step 3: Cross multiply
    2,975.45x = 4,106.22 × 1,796.29
  4. Step 4: Simplify right side
    2,975.45x = 7,375,961.92
  5. Step 5: Solve for x
    x = 7,375,961.92/2,975.45
  6. Step 6: Final answer
    x = 2,478.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.