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Finding the Fourth Proportional to 2,912.27, 4,019.26 and 1,733.34

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Solution

The fourth proportional to 2,912.27, 4,019.26 and 1,733.34 is: 2,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.27 : 4,019.26 = 1,733.34 : x
  2. Step 2: Convert to fraction form
    2,912.27/4,019.26 = 1,733.34/x
  3. Step 3: Cross multiply
    2,912.27x = 4,019.26 × 1,733.34
  4. Step 4: Simplify right side
    2,912.27x = 6,966,744.13
  5. Step 5: Solve for x
    x = 6,966,744.13/2,912.27
  6. Step 6: Final answer
    x = 2,392.20

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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.