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Finding the Fourth Proportional to 2,229.93, 3,078.71 and 1,433.61

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Solution

The fourth proportional to 2,229.93, 3,078.71 and 1,433.61 is: 1,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.93 : 3,078.71 = 1,433.61 : x
  2. Step 2: Convert to fraction form
    2,229.93/3,078.71 = 1,433.61/x
  3. Step 3: Cross multiply
    2,229.93x = 3,078.71 × 1,433.61
  4. Step 4: Simplify right side
    2,229.93x = 4,413,662.28
  5. Step 5: Solve for x
    x = 4,413,662.28/2,229.93
  6. Step 6: Final answer
    x = 1,979.28

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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.