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Finding the Fourth Proportional to 2,100.89, 2,912.81 and 1,975.13

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Solution

The fourth proportional to 2,100.89, 2,912.81 and 1,975.13 is: 2,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.89 : 2,912.81 = 1,975.13 : x
  2. Step 2: Convert to fraction form
    2,100.89/2,912.81 = 1,975.13/x
  3. Step 3: Cross multiply
    2,100.89x = 2,912.81 × 1,975.13
  4. Step 4: Simplify right side
    2,100.89x = 5,753,192.39
  5. Step 5: Solve for x
    x = 5,753,192.39/2,100.89
  6. Step 6: Final answer
    x = 2,738.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.