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Finding the Fourth Proportional to 1,241.33, 1,862 and 419.61

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Solution

The fourth proportional to 1,241.33, 1,862 and 419.61 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.33 : 1,862 = 419.61 : x
  2. Step 2: Convert to fraction form
    1,241.33/1,862 = 419.61/x
  3. Step 3: Cross multiply
    1,241.33x = 1,862 × 419.61
  4. Step 4: Simplify right side
    1,241.33x = 781,304.51
  5. Step 5: Solve for x
    x = 781,304.51/1,241.33
  6. Step 6: Final answer
    x = 629.41

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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.