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Finding the Fourth Proportional to 2,131.03, 3,195.21 and 897.80

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Solution

The fourth proportional to 2,131.03, 3,195.21 and 897.80 is: 1,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.03 : 3,195.21 = 897.80 : x
  2. Step 2: Convert to fraction form
    2,131.03/3,195.21 = 897.80/x
  3. Step 3: Cross multiply
    2,131.03x = 3,195.21 × 897.80
  4. Step 4: Simplify right side
    2,131.03x = 2,868,659.54
  5. Step 5: Solve for x
    x = 2,868,659.54/2,131.03
  6. Step 6: Final answer
    x = 1,346.14

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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.