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Finding the Fourth Proportional to 2,266.78, 3,128.18 and 1,382.43

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Solution

The fourth proportional to 2,266.78, 3,128.18 and 1,382.43 is: 1,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.78 : 3,128.18 = 1,382.43 : x
  2. Step 2: Convert to fraction form
    2,266.78/3,128.18 = 1,382.43/x
  3. Step 3: Cross multiply
    2,266.78x = 3,128.18 × 1,382.43
  4. Step 4: Simplify right side
    2,266.78x = 4,324,489.88
  5. Step 5: Solve for x
    x = 4,324,489.88/2,266.78
  6. Step 6: Final answer
    x = 1,907.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.