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Finding the Fourth Proportional to 1,382.13, 2,074.41 and 895.73

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Solution

The fourth proportional to 1,382.13, 2,074.41 and 895.73 is: 1,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.13 : 2,074.41 = 895.73 : x
  2. Step 2: Convert to fraction form
    1,382.13/2,074.41 = 895.73/x
  3. Step 3: Cross multiply
    1,382.13x = 2,074.41 × 895.73
  4. Step 4: Simplify right side
    1,382.13x = 1,858,100.90
  5. Step 5: Solve for x
    x = 1,858,100.90/1,382.13
  6. Step 6: Final answer
    x = 1,344.37

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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.