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Finding the Fourth Proportional to 2,064.26, 3,094.56 and 764.81

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Solution

The fourth proportional to 2,064.26, 3,094.56 and 764.81 is: 1,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.26 : 3,094.56 = 764.81 : x
  2. Step 2: Convert to fraction form
    2,064.26/3,094.56 = 764.81/x
  3. Step 3: Cross multiply
    2,064.26x = 3,094.56 × 764.81
  4. Step 4: Simplify right side
    2,064.26x = 2,366,758.17
  5. Step 5: Solve for x
    x = 2,366,758.17/2,064.26
  6. Step 6: Final answer
    x = 1,146.54

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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.