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Finding the Fourth Proportional to 2,820.58, 3,891.21 and 1,889.38

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Solution

The fourth proportional to 2,820.58, 3,891.21 and 1,889.38 is: 2,606.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.58 : 3,891.21 = 1,889.38 : x
  2. Step 2: Convert to fraction form
    2,820.58/3,891.21 = 1,889.38/x
  3. Step 3: Cross multiply
    2,820.58x = 3,891.21 × 1,889.38
  4. Step 4: Simplify right side
    2,820.58x = 7,351,974.35
  5. Step 5: Solve for x
    x = 7,351,974.35/2,820.58
  6. Step 6: Final answer
    x = 2,606.55

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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.