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Finding the Fourth Proportional to 3,176.73, 4,382.73 and 2,057.13

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Solution

The fourth proportional to 3,176.73, 4,382.73 and 2,057.13 is: 2,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.73 : 4,382.73 = 2,057.13 : x
  2. Step 2: Convert to fraction form
    3,176.73/4,382.73 = 2,057.13/x
  3. Step 3: Cross multiply
    3,176.73x = 4,382.73 × 2,057.13
  4. Step 4: Simplify right side
    3,176.73x = 9,015,845.36
  5. Step 5: Solve for x
    x = 9,015,845.36/3,176.73
  6. Step 6: Final answer
    x = 2,838.09

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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.