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Finding the Fourth Proportional to 1,241.23, 1,861.54 and 419.48

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Solution

The fourth proportional to 1,241.23, 1,861.54 and 419.48 is: 629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.23 : 1,861.54 = 419.48 : x
  2. Step 2: Convert to fraction form
    1,241.23/1,861.54 = 419.48/x
  3. Step 3: Cross multiply
    1,241.23x = 1,861.54 × 419.48
  4. Step 4: Simplify right side
    1,241.23x = 780,878.80
  5. Step 5: Solve for x
    x = 780,878.80/1,241.23
  6. Step 6: Final answer
    x = 629.12

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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.