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Finding the Fourth Proportional to 2,151.24, 3,225.42 and 996.36

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Solution

The fourth proportional to 2,151.24, 3,225.42 and 996.36 is: 1,493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.24 : 3,225.42 = 996.36 : x
  2. Step 2: Convert to fraction form
    2,151.24/3,225.42 = 996.36/x
  3. Step 3: Cross multiply
    2,151.24x = 3,225.42 × 996.36
  4. Step 4: Simplify right side
    2,151.24x = 3,213,679.47
  5. Step 5: Solve for x
    x = 3,213,679.47/2,151.24
  6. Step 6: Final answer
    x = 1,493.87

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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.