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Finding the Fourth Proportional to 2,900.96, 3,998.60 and 2,270.44

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Solution

The fourth proportional to 2,900.96, 3,998.60 and 2,270.44 is: 3,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.96 : 3,998.60 = 2,270.44 : x
  2. Step 2: Convert to fraction form
    2,900.96/3,998.60 = 2,270.44/x
  3. Step 3: Cross multiply
    2,900.96x = 3,998.60 × 2,270.44
  4. Step 4: Simplify right side
    2,900.96x = 9,078,581.38
  5. Step 5: Solve for x
    x = 9,078,581.38/2,900.96
  6. Step 6: Final answer
    x = 3,129.51

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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.