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Finding the Fourth Proportional to 2,383.88, 3,573.59 and 996.35

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Solution

The fourth proportional to 2,383.88, 3,573.59 and 996.35 is: 1,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.88 : 3,573.59 = 996.35 : x
  2. Step 2: Convert to fraction form
    2,383.88/3,573.59 = 996.35/x
  3. Step 3: Cross multiply
    2,383.88x = 3,573.59 × 996.35
  4. Step 4: Simplify right side
    2,383.88x = 3,560,523.55
  5. Step 5: Solve for x
    x = 3,560,523.55/2,383.88
  6. Step 6: Final answer
    x = 1,493.59

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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.