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Finding the Fourth Proportional to 3,105.69, 4,659.27 and 1,374.81

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Solution

The fourth proportional to 3,105.69, 4,659.27 and 1,374.81 is: 2,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.69 : 4,659.27 = 1,374.81 : x
  2. Step 2: Convert to fraction form
    3,105.69/4,659.27 = 1,374.81/x
  3. Step 3: Cross multiply
    3,105.69x = 4,659.27 × 1,374.81
  4. Step 4: Simplify right side
    3,105.69x = 6,405,610.99
  5. Step 5: Solve for x
    x = 6,405,610.99/3,105.69
  6. Step 6: Final answer
    x = 2,062.54

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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.