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Finding the Fourth Proportional to 2,272.94, 3,137.49 and 1,434.19

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Solution

The fourth proportional to 2,272.94, 3,137.49 and 1,434.19 is: 1,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.94 : 3,137.49 = 1,434.19 : x
  2. Step 2: Convert to fraction form
    2,272.94/3,137.49 = 1,434.19/x
  3. Step 3: Cross multiply
    2,272.94x = 3,137.49 × 1,434.19
  4. Step 4: Simplify right side
    2,272.94x = 4,499,769.07
  5. Step 5: Solve for x
    x = 4,499,769.07/2,272.94
  6. Step 6: Final answer
    x = 1,979.71

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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.