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Finding the Fourth Proportional to 3,176.23, 4,382.49 and 1,917.49

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Solution

The fourth proportional to 3,176.23, 4,382.49 and 1,917.49 is: 2,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.23 : 4,382.49 = 1,917.49 : x
  2. Step 2: Convert to fraction form
    3,176.23/4,382.49 = 1,917.49/x
  3. Step 3: Cross multiply
    3,176.23x = 4,382.49 × 1,917.49
  4. Step 4: Simplify right side
    3,176.23x = 8,403,380.75
  5. Step 5: Solve for x
    x = 8,403,380.75/3,176.23
  6. Step 6: Final answer
    x = 2,645.71

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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.