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Finding the Fourth Proportional to 2,081.38, 3,120.21 and 764.83

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Solution

The fourth proportional to 2,081.38, 3,120.21 and 764.83 is: 1,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.38 : 3,120.21 = 764.83 : x
  2. Step 2: Convert to fraction form
    2,081.38/3,120.21 = 764.83/x
  3. Step 3: Cross multiply
    2,081.38x = 3,120.21 × 764.83
  4. Step 4: Simplify right side
    2,081.38x = 2,386,430.21
  5. Step 5: Solve for x
    x = 2,386,430.21/2,081.38
  6. Step 6: Final answer
    x = 1,146.56

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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.