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Finding the Fourth Proportional to 3,122.44, 4,309 and 1,725.19

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Solution

The fourth proportional to 3,122.44, 4,309 and 1,725.19 is: 2,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.44 : 4,309 = 1,725.19 : x
  2. Step 2: Convert to fraction form
    3,122.44/4,309 = 1,725.19/x
  3. Step 3: Cross multiply
    3,122.44x = 4,309 × 1,725.19
  4. Step 4: Simplify right side
    3,122.44x = 7,433,843.71
  5. Step 5: Solve for x
    x = 7,433,843.71/3,122.44
  6. Step 6: Final answer
    x = 2,380.78

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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.