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Finding the Fourth Proportional to 2,998.36, 4,137.34 and 1,819.48

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Solution

The fourth proportional to 2,998.36, 4,137.34 and 1,819.48 is: 2,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.36 : 4,137.34 = 1,819.48 : x
  2. Step 2: Convert to fraction form
    2,998.36/4,137.34 = 1,819.48/x
  3. Step 3: Cross multiply
    2,998.36x = 4,137.34 × 1,819.48
  4. Step 4: Simplify right side
    2,998.36x = 7,527,807.38
  5. Step 5: Solve for x
    x = 7,527,807.38/2,998.36
  6. Step 6: Final answer
    x = 2,510.64

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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.