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Finding the Fourth Proportional to 2,828.41, 3,900.82 and 1,820.27

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Solution

The fourth proportional to 2,828.41, 3,900.82 and 1,820.27 is: 2,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.41 : 3,900.82 = 1,820.27 : x
  2. Step 2: Convert to fraction form
    2,828.41/3,900.82 = 1,820.27/x
  3. Step 3: Cross multiply
    2,828.41x = 3,900.82 × 1,820.27
  4. Step 4: Simplify right side
    2,828.41x = 7,100,536.52
  5. Step 5: Solve for x
    x = 7,100,536.52/2,828.41
  6. Step 6: Final answer
    x = 2,510.44

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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.