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Finding the Fourth Proportional to 2,312.23, 3,467.43 and 996.08

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Solution

The fourth proportional to 2,312.23, 3,467.43 and 996.08 is: 1,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.23 : 3,467.43 = 996.08 : x
  2. Step 2: Convert to fraction form
    2,312.23/3,467.43 = 996.08/x
  3. Step 3: Cross multiply
    2,312.23x = 3,467.43 × 996.08
  4. Step 4: Simplify right side
    2,312.23x = 3,453,837.67
  5. Step 5: Solve for x
    x = 3,453,837.67/2,312.23
  6. Step 6: Final answer
    x = 1,493.73

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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.