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Finding the Fourth Proportional to 2,096, 2,892.48 and 1,268

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Solution

The fourth proportional to 2,096, 2,892.48 and 1,268 is: 1,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096 : 2,892.48 = 1,268 : x
  2. Step 2: Convert to fraction form
    2,096/2,892.48 = 1,268/x
  3. Step 3: Cross multiply
    2,096x = 2,892.48 × 1,268
  4. Step 4: Simplify right side
    2,096x = 3,667,664.64
  5. Step 5: Solve for x
    x = 3,667,664.64/2,096
  6. Step 6: Final answer
    x = 1,749.84

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Why These Related Problems?

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