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Finding the Fourth Proportional to 4,202.54, 6,304.81 and 1,280.66

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Solution

The fourth proportional to 4,202.54, 6,304.81 and 1,280.66 is: 1,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.54 : 6,304.81 = 1,280.66 : x
  2. Step 2: Convert to fraction form
    4,202.54/6,304.81 = 1,280.66/x
  3. Step 3: Cross multiply
    4,202.54x = 6,304.81 × 1,280.66
  4. Step 4: Simplify right side
    4,202.54x = 8,074,317.97
  5. Step 5: Solve for x
    x = 8,074,317.97/4,202.54
  6. Step 6: Final answer
    x = 1,921.30

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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.