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Finding the Fourth Proportional to 2,882.30, 3,978.15 and 1,887.21

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Solution

The fourth proportional to 2,882.30, 3,978.15 and 1,887.21 is: 2,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.30 : 3,978.15 = 1,887.21 : x
  2. Step 2: Convert to fraction form
    2,882.30/3,978.15 = 1,887.21/x
  3. Step 3: Cross multiply
    2,882.30x = 3,978.15 × 1,887.21
  4. Step 4: Simplify right side
    2,882.30x = 7,507,597.38
  5. Step 5: Solve for x
    x = 7,507,597.38/2,882.30
  6. Step 6: Final answer
    x = 2,604.73

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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.