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Finding the Fourth Proportional to 3,232.74, 4,850.54 and 1,693.38

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Solution

The fourth proportional to 3,232.74, 4,850.54 and 1,693.38 is: 2,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.74 : 4,850.54 = 1,693.38 : x
  2. Step 2: Convert to fraction form
    3,232.74/4,850.54 = 1,693.38/x
  3. Step 3: Cross multiply
    3,232.74x = 4,850.54 × 1,693.38
  4. Step 4: Simplify right side
    3,232.74x = 8,213,787.41
  5. Step 5: Solve for x
    x = 8,213,787.41/3,232.74
  6. Step 6: Final answer
    x = 2,540.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.