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Finding the Fourth Proportional to 2,062.20, 3,094.74 and 764.76

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Solution

The fourth proportional to 2,062.20, 3,094.74 and 764.76 is: 1,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.20 : 3,094.74 = 764.76 : x
  2. Step 2: Convert to fraction form
    2,062.20/3,094.74 = 764.76/x
  3. Step 3: Cross multiply
    2,062.20x = 3,094.74 × 764.76
  4. Step 4: Simplify right side
    2,062.20x = 2,366,733.36
  5. Step 5: Solve for x
    x = 2,366,733.36/2,062.20
  6. Step 6: Final answer
    x = 1,147.67

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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.