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Finding the Fourth Proportional to 2,268.71, 3,128.74 and 1,471.20

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Solution

The fourth proportional to 2,268.71, 3,128.74 and 1,471.20 is: 2,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.71 : 3,128.74 = 1,471.20 : x
  2. Step 2: Convert to fraction form
    2,268.71/3,128.74 = 1,471.20/x
  3. Step 3: Cross multiply
    2,268.71x = 3,128.74 × 1,471.20
  4. Step 4: Simplify right side
    2,268.71x = 4,603,002.15
  5. Step 5: Solve for x
    x = 4,603,002.15/2,268.71
  6. Step 6: Final answer
    x = 2,028.91

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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.