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Finding the Fourth Proportional to 2,821.32, 3,893.06 and 1,642.56

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Solution

The fourth proportional to 2,821.32, 3,893.06 and 1,642.56 is: 2,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.32 : 3,893.06 = 1,642.56 : x
  2. Step 2: Convert to fraction form
    2,821.32/3,893.06 = 1,642.56/x
  3. Step 3: Cross multiply
    2,821.32x = 3,893.06 × 1,642.56
  4. Step 4: Simplify right side
    2,821.32x = 6,394,584.63
  5. Step 5: Solve for x
    x = 6,394,584.63/2,821.32
  6. Step 6: Final answer
    x = 2,266.52

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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.