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Finding the Fourth Proportional to 2,821.14, 3,893.10 and 1,642.02

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Solution

The fourth proportional to 2,821.14, 3,893.10 and 1,642.02 is: 2,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.14 : 3,893.10 = 1,642.02 : x
  2. Step 2: Convert to fraction form
    2,821.14/3,893.10 = 1,642.02/x
  3. Step 3: Cross multiply
    2,821.14x = 3,893.10 × 1,642.02
  4. Step 4: Simplify right side
    2,821.14x = 6,392,548.06
  5. Step 5: Solve for x
    x = 6,392,548.06/2,821.14
  6. Step 6: Final answer
    x = 2,265.94

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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.