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Finding the Fourth Proportional to 3,241.92, 4,864.77 and 1,293.87

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Solution

The fourth proportional to 3,241.92, 4,864.77 and 1,293.87 is: 1,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.92 : 4,864.77 = 1,293.87 : x
  2. Step 2: Convert to fraction form
    3,241.92/4,864.77 = 1,293.87/x
  3. Step 3: Cross multiply
    3,241.92x = 4,864.77 × 1,293.87
  4. Step 4: Simplify right side
    3,241.92x = 6,294,379.96
  5. Step 5: Solve for x
    x = 6,294,379.96/3,241.92
  6. Step 6: Final answer
    x = 1,941.56

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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.