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Finding the Fourth Proportional to 2,131.82, 3,197.89 and 670.94

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Solution

The fourth proportional to 2,131.82, 3,197.89 and 670.94 is: 1,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.82 : 3,197.89 = 670.94 : x
  2. Step 2: Convert to fraction form
    2,131.82/3,197.89 = 670.94/x
  3. Step 3: Cross multiply
    2,131.82x = 3,197.89 × 670.94
  4. Step 4: Simplify right side
    2,131.82x = 2,145,592.32
  5. Step 5: Solve for x
    x = 2,145,592.32/2,131.82
  6. Step 6: Final answer
    x = 1,006.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.