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Finding the Fourth Proportional to 2,131.11, 3,196.53 and 671.22

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Solution

The fourth proportional to 2,131.11, 3,196.53 and 671.22 is: 1,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.11 : 3,196.53 = 671.22 : x
  2. Step 2: Convert to fraction form
    2,131.11/3,196.53 = 671.22/x
  3. Step 3: Cross multiply
    2,131.11x = 3,196.53 × 671.22
  4. Step 4: Simplify right side
    2,131.11x = 2,145,574.87
  5. Step 5: Solve for x
    x = 2,145,574.87/2,131.11
  6. Step 6: Final answer
    x = 1,006.79

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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.