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Finding the Fourth Proportional to 3,241.34, 4,861.47 and 1,160.99

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Solution

The fourth proportional to 3,241.34, 4,861.47 and 1,160.99 is: 1,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.34 : 4,861.47 = 1,160.99 : x
  2. Step 2: Convert to fraction form
    3,241.34/4,861.47 = 1,160.99/x
  3. Step 3: Cross multiply
    3,241.34x = 4,861.47 × 1,160.99
  4. Step 4: Simplify right side
    3,241.34x = 5,644,093.75
  5. Step 5: Solve for x
    x = 5,644,093.75/3,241.34
  6. Step 6: Final answer
    x = 1,741.29

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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.