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Finding the Fourth Proportional to 3,193.17, 4,787.77 and 1,343.33

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Solution

The fourth proportional to 3,193.17, 4,787.77 and 1,343.33 is: 2,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.17 : 4,787.77 = 1,343.33 : x
  2. Step 2: Convert to fraction form
    3,193.17/4,787.77 = 1,343.33/x
  3. Step 3: Cross multiply
    3,193.17x = 4,787.77 × 1,343.33
  4. Step 4: Simplify right side
    3,193.17x = 6,431,531.14
  5. Step 5: Solve for x
    x = 6,431,531.14/3,193.17
  6. Step 6: Final answer
    x = 2,014.16

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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.