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Finding the Fourth Proportional to 1,382.17, 2,072.17 and 942.33

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Solution

The fourth proportional to 1,382.17, 2,072.17 and 942.33 is: 1,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.17 : 2,072.17 = 942.33 : x
  2. Step 2: Convert to fraction form
    1,382.17/2,072.17 = 942.33/x
  3. Step 3: Cross multiply
    1,382.17x = 2,072.17 × 942.33
  4. Step 4: Simplify right side
    1,382.17x = 1,952,667.72
  5. Step 5: Solve for x
    x = 1,952,667.72/1,382.17
  6. Step 6: Final answer
    x = 1,412.76

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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.