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Finding the Fourth Proportional to 2,268.57, 3,128.71 and 1,916.22

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Solution

The fourth proportional to 2,268.57, 3,128.71 and 1,916.22 is: 2,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.57 : 3,128.71 = 1,916.22 : x
  2. Step 2: Convert to fraction form
    2,268.57/3,128.71 = 1,916.22/x
  3. Step 3: Cross multiply
    2,268.57x = 3,128.71 × 1,916.22
  4. Step 4: Simplify right side
    2,268.57x = 5,995,296.68
  5. Step 5: Solve for x
    x = 5,995,296.68/2,268.57
  6. Step 6: Final answer
    x = 2,642.76

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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.