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Finding the Fourth Proportional to 2,872.11, 3,963.04 and 1,693.41

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Solution

The fourth proportional to 2,872.11, 3,963.04 and 1,693.41 is: 2,336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.11 : 3,963.04 = 1,693.41 : x
  2. Step 2: Convert to fraction form
    2,872.11/3,963.04 = 1,693.41/x
  3. Step 3: Cross multiply
    2,872.11x = 3,963.04 × 1,693.41
  4. Step 4: Simplify right side
    2,872.11x = 6,711,064.29
  5. Step 5: Solve for x
    x = 6,711,064.29/2,872.11
  6. Step 6: Final answer
    x = 2,336.63

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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.