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Finding the Fourth Proportional to 4,202.56, 6,304.53 and 1,241.31

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Solution

The fourth proportional to 4,202.56, 6,304.53 and 1,241.31 is: 1,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.56 : 6,304.53 = 1,241.31 : x
  2. Step 2: Convert to fraction form
    4,202.56/6,304.53 = 1,241.31/x
  3. Step 3: Cross multiply
    4,202.56x = 6,304.53 × 1,241.31
  4. Step 4: Simplify right side
    4,202.56x = 7,825,839.96
  5. Step 5: Solve for x
    x = 7,825,839.96/4,202.56
  6. Step 6: Final answer
    x = 1,862.16

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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.