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Finding the Fourth Proportional to 4,202.68, 6,304.08 and 1,082.61

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Solution

The fourth proportional to 4,202.68, 6,304.08 and 1,082.61 is: 1,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.68 : 6,304.08 = 1,082.61 : x
  2. Step 2: Convert to fraction form
    4,202.68/6,304.08 = 1,082.61/x
  3. Step 3: Cross multiply
    4,202.68x = 6,304.08 × 1,082.61
  4. Step 4: Simplify right side
    4,202.68x = 6,824,860.05
  5. Step 5: Solve for x
    x = 6,824,860.05/4,202.68
  6. Step 6: Final answer
    x = 1,623.93

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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.