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Finding the Fourth Proportional to 2,313.81, 3,193.16 and 1,265.94

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Solution

The fourth proportional to 2,313.81, 3,193.16 and 1,265.94 is: 1,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.81 : 3,193.16 = 1,265.94 : x
  2. Step 2: Convert to fraction form
    2,313.81/3,193.16 = 1,265.94/x
  3. Step 3: Cross multiply
    2,313.81x = 3,193.16 × 1,265.94
  4. Step 4: Simplify right side
    2,313.81x = 4,042,342.64
  5. Step 5: Solve for x
    x = 4,042,342.64/2,313.81
  6. Step 6: Final answer
    x = 1,747.05

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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.