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Finding the Fourth Proportional to 2,201.58, 3,284.01 and 1,993.83

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Solution

The fourth proportional to 2,201.58, 3,284.01 and 1,993.83 is: 2,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.58 : 3,284.01 = 1,993.83 : x
  2. Step 2: Convert to fraction form
    2,201.58/3,284.01 = 1,993.83/x
  3. Step 3: Cross multiply
    2,201.58x = 3,284.01 × 1,993.83
  4. Step 4: Simplify right side
    2,201.58x = 6,547,757.66
  5. Step 5: Solve for x
    x = 6,547,757.66/2,201.58
  6. Step 6: Final answer
    x = 2,974.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.