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Finding the Fourth Proportional to 2,112.13, 2,912.00 and 1,447.79

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Solution

The fourth proportional to 2,112.13, 2,912.00 and 1,447.79 is: 1,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.13 : 2,912.00 = 1,447.79 : x
  2. Step 2: Convert to fraction form
    2,112.13/2,912.00 = 1,447.79/x
  3. Step 3: Cross multiply
    2,112.13x = 2,912.00 × 1,447.79
  4. Step 4: Simplify right side
    2,112.13x = 4,215,975.38
  5. Step 5: Solve for x
    x = 4,215,975.38/2,112.13
  6. Step 6: Final answer
    x = 1,996.08

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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.