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Finding the Fourth Proportional to 1,865.97, 2,793.22 and 1,170.20

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Solution

The fourth proportional to 1,865.97, 2,793.22 and 1,170.20 is: 1,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.97 : 2,793.22 = 1,170.20 : x
  2. Step 2: Convert to fraction form
    1,865.97/2,793.22 = 1,170.20/x
  3. Step 3: Cross multiply
    1,865.97x = 2,793.22 × 1,170.20
  4. Step 4: Simplify right side
    1,865.97x = 3,268,630.10
  5. Step 5: Solve for x
    x = 3,268,630.10/1,865.97
  6. Step 6: Final answer
    x = 1,751.71

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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.