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Finding the Fourth Proportional to 2,638.83, 3,955.78 and 996.46

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Solution

The fourth proportional to 2,638.83, 3,955.78 and 996.46 is: 1,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.83 : 3,955.78 = 996.46 : x
  2. Step 2: Convert to fraction form
    2,638.83/3,955.78 = 996.46/x
  3. Step 3: Cross multiply
    2,638.83x = 3,955.78 × 996.46
  4. Step 4: Simplify right side
    2,638.83x = 3,941,776.54
  5. Step 5: Solve for x
    x = 3,941,776.54/2,638.83
  6. Step 6: Final answer
    x = 1,493.76

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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.