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Finding the Fourth Proportional to 2,066.56, 2,833.76 and 1,993.12

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Solution

The fourth proportional to 2,066.56, 2,833.76 and 1,993.12 is: 2,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.56 : 2,833.76 = 1,993.12 : x
  2. Step 2: Convert to fraction form
    2,066.56/2,833.76 = 1,993.12/x
  3. Step 3: Cross multiply
    2,066.56x = 2,833.76 × 1,993.12
  4. Step 4: Simplify right side
    2,066.56x = 5,648,023.73
  5. Step 5: Solve for x
    x = 5,648,023.73/2,066.56
  6. Step 6: Final answer
    x = 2,733.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.