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Finding the Fourth Proportional to 3,215.61, 4,822.26 and 1,241.38

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Solution

The fourth proportional to 3,215.61, 4,822.26 and 1,241.38 is: 1,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.61 : 4,822.26 = 1,241.38 : x
  2. Step 2: Convert to fraction form
    3,215.61/4,822.26 = 1,241.38/x
  3. Step 3: Cross multiply
    3,215.61x = 4,822.26 × 1,241.38
  4. Step 4: Simplify right side
    3,215.61x = 5,986,257.12
  5. Step 5: Solve for x
    x = 5,986,257.12/3,215.61
  6. Step 6: Final answer
    x = 1,861.62

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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.