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Finding the Fourth Proportional to 1,382.70, 2,073.86 and 395.44

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Solution

The fourth proportional to 1,382.70, 2,073.86 and 395.44 is: 593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.70 : 2,073.86 = 395.44 : x
  2. Step 2: Convert to fraction form
    1,382.70/2,073.86 = 395.44/x
  3. Step 3: Cross multiply
    1,382.70x = 2,073.86 × 395.44
  4. Step 4: Simplify right side
    1,382.70x = 820,087.20
  5. Step 5: Solve for x
    x = 820,087.20/1,382.70
  6. Step 6: Final answer
    x = 593.11

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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.