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Finding the Fourth Proportional to 2,912.67, 4,019.82 and 1,733.76

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Solution

The fourth proportional to 2,912.67, 4,019.82 and 1,733.76 is: 2,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.67 : 4,019.82 = 1,733.76 : x
  2. Step 2: Convert to fraction form
    2,912.67/4,019.82 = 1,733.76/x
  3. Step 3: Cross multiply
    2,912.67x = 4,019.82 × 1,733.76
  4. Step 4: Simplify right side
    2,912.67x = 6,969,403.12
  5. Step 5: Solve for x
    x = 6,969,403.12/2,912.67
  6. Step 6: Final answer
    x = 2,392.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.