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Finding the Fourth Proportional to 3,230.49, 4,844.56 and 1,381.74

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Solution

The fourth proportional to 3,230.49, 4,844.56 and 1,381.74 is: 2,072.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.49 : 4,844.56 = 1,381.74 : x
  2. Step 2: Convert to fraction form
    3,230.49/4,844.56 = 1,381.74/x
  3. Step 3: Cross multiply
    3,230.49x = 4,844.56 × 1,381.74
  4. Step 4: Simplify right side
    3,230.49x = 6,693,922.33
  5. Step 5: Solve for x
    x = 6,693,922.33/3,230.49
  6. Step 6: Final answer
    x = 2,072.11

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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.