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Finding the Fourth Proportional to 2,882.45, 3,978.30 and 2,260.37

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Solution

The fourth proportional to 2,882.45, 3,978.30 and 2,260.37 is: 3,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.45 : 3,978.30 = 2,260.37 : x
  2. Step 2: Convert to fraction form
    2,882.45/3,978.30 = 2,260.37/x
  3. Step 3: Cross multiply
    2,882.45x = 3,978.30 × 2,260.37
  4. Step 4: Simplify right side
    2,882.45x = 8,992,398.78
  5. Step 5: Solve for x
    x = 8,992,398.78/2,882.45
  6. Step 6: Final answer
    x = 3,119.71

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