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Finding the Fourth Proportional to 3,105.72, 4,651.89 and 1,459.80

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Solution

The fourth proportional to 3,105.72, 4,651.89 and 1,459.80 is: 2,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.72 : 4,651.89 = 1,459.80 : x
  2. Step 2: Convert to fraction form
    3,105.72/4,651.89 = 1,459.80/x
  3. Step 3: Cross multiply
    3,105.72x = 4,651.89 × 1,459.80
  4. Step 4: Simplify right side
    3,105.72x = 6,790,829.02
  5. Step 5: Solve for x
    x = 6,790,829.02/3,105.72
  6. Step 6: Final answer
    x = 2,186.56

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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.