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Finding the Fourth Proportional to 2,062.76, 3,094.94 and 764.32

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Solution

The fourth proportional to 2,062.76, 3,094.94 and 764.32 is: 1,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.76 : 3,094.94 = 764.32 : x
  2. Step 2: Convert to fraction form
    2,062.76/3,094.94 = 764.32/x
  3. Step 3: Cross multiply
    2,062.76x = 3,094.94 × 764.32
  4. Step 4: Simplify right side
    2,062.76x = 2,365,524.54
  5. Step 5: Solve for x
    x = 2,365,524.54/2,062.76
  6. Step 6: Final answer
    x = 1,146.78

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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.