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Finding the Fourth Proportional to 2,266.95, 3,128.17 and 1,382.57

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Solution

The fourth proportional to 2,266.95, 3,128.17 and 1,382.57 is: 1,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.95 : 3,128.17 = 1,382.57 : x
  2. Step 2: Convert to fraction form
    2,266.95/3,128.17 = 1,382.57/x
  3. Step 3: Cross multiply
    2,266.95x = 3,128.17 × 1,382.57
  4. Step 4: Simplify right side
    2,266.95x = 4,324,914.00
  5. Step 5: Solve for x
    x = 4,324,914.00/2,266.95
  6. Step 6: Final answer
    x = 1,907.81

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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.