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Finding the Fourth Proportional to 2,014.56, 3,022.56 and 859.68

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Solution

The fourth proportional to 2,014.56, 3,022.56 and 859.68 is: 1,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.56 : 3,022.56 = 859.68 : x
  2. Step 2: Convert to fraction form
    2,014.56/3,022.56 = 859.68/x
  3. Step 3: Cross multiply
    2,014.56x = 3,022.56 × 859.68
  4. Step 4: Simplify right side
    2,014.56x = 2,598,434.38
  5. Step 5: Solve for x
    x = 2,598,434.38/2,014.56
  6. Step 6: Final answer
    x = 1,289.83

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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.