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Finding the Fourth Proportional to 2,131.22, 3,197.13 and 670.49

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Solution

The fourth proportional to 2,131.22, 3,197.13 and 670.49 is: 1,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.22 : 3,197.13 = 670.49 : x
  2. Step 2: Convert to fraction form
    2,131.22/3,197.13 = 670.49/x
  3. Step 3: Cross multiply
    2,131.22x = 3,197.13 × 670.49
  4. Step 4: Simplify right side
    2,131.22x = 2,143,643.69
  5. Step 5: Solve for x
    x = 2,143,643.69/2,131.22
  6. Step 6: Final answer
    x = 1,005.83

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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.