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Finding the Fourth Proportional to 1,382.72, 2,072.66 and 1,033.61

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Solution

The fourth proportional to 1,382.72, 2,072.66 and 1,033.61 is: 1,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.72 : 2,072.66 = 1,033.61 : x
  2. Step 2: Convert to fraction form
    1,382.72/2,072.66 = 1,033.61/x
  3. Step 3: Cross multiply
    1,382.72x = 2,072.66 × 1,033.61
  4. Step 4: Simplify right side
    1,382.72x = 2,142,306.57
  5. Step 5: Solve for x
    x = 2,142,306.57/1,382.72
  6. Step 6: Final answer
    x = 1,549.35

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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.