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Finding the Fourth Proportional to 2,014.17, 3,019.83 and 764.56

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Solution

The fourth proportional to 2,014.17, 3,019.83 and 764.56 is: 1,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.17 : 3,019.83 = 764.56 : x
  2. Step 2: Convert to fraction form
    2,014.17/3,019.83 = 764.56/x
  3. Step 3: Cross multiply
    2,014.17x = 3,019.83 × 764.56
  4. Step 4: Simplify right side
    2,014.17x = 2,308,841.22
  5. Step 5: Solve for x
    x = 2,308,841.22/2,014.17
  6. Step 6: Final answer
    x = 1,146.30

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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.