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Finding the Fourth Proportional to 2,313.92, 3,193.29 and 1,266.08

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Solution

The fourth proportional to 2,313.92, 3,193.29 and 1,266.08 is: 1,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.92 : 3,193.29 = 1,266.08 : x
  2. Step 2: Convert to fraction form
    2,313.92/3,193.29 = 1,266.08/x
  3. Step 3: Cross multiply
    2,313.92x = 3,193.29 × 1,266.08
  4. Step 4: Simplify right side
    2,313.92x = 4,042,960.60
  5. Step 5: Solve for x
    x = 4,042,960.60/2,313.92
  6. Step 6: Final answer
    x = 1,747.23

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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.