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Finding the Fourth Proportional to 2,084.84, 3,123.79 and 1,467.24

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Solution

The fourth proportional to 2,084.84, 3,123.79 and 1,467.24 is: 2,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.84 : 3,123.79 = 1,467.24 : x
  2. Step 2: Convert to fraction form
    2,084.84/3,123.79 = 1,467.24/x
  3. Step 3: Cross multiply
    2,084.84x = 3,123.79 × 1,467.24
  4. Step 4: Simplify right side
    2,084.84x = 4,583,342.30
  5. Step 5: Solve for x
    x = 4,583,342.30/2,084.84
  6. Step 6: Final answer
    x = 2,198.42

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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.