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Finding the Fourth Proportional to 2,083.64, 3,126.38 and 1,620.74

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Solution

The fourth proportional to 2,083.64, 3,126.38 and 1,620.74 is: 2,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.64 : 3,126.38 = 1,620.74 : x
  2. Step 2: Convert to fraction form
    2,083.64/3,126.38 = 1,620.74/x
  3. Step 3: Cross multiply
    2,083.64x = 3,126.38 × 1,620.74
  4. Step 4: Simplify right side
    2,083.64x = 5,067,049.12
  5. Step 5: Solve for x
    x = 5,067,049.12/2,083.64
  6. Step 6: Final answer
    x = 2,431.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.