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Finding the Fourth Proportional to 2,131.41, 3,197.42 and 670.22

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Solution

The fourth proportional to 2,131.41, 3,197.42 and 670.22 is: 1,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.41 : 3,197.42 = 670.22 : x
  2. Step 2: Convert to fraction form
    2,131.41/3,197.42 = 670.22/x
  3. Step 3: Cross multiply
    2,131.41x = 3,197.42 × 670.22
  4. Step 4: Simplify right side
    2,131.41x = 2,142,991.75
  5. Step 5: Solve for x
    x = 2,142,991.75/2,131.41
  6. Step 6: Final answer
    x = 1,005.43

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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.