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Finding the Fourth Proportional to 2,219.54, 3,329.31 and 2,084.22

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Solution

The fourth proportional to 2,219.54, 3,329.31 and 2,084.22 is: 3,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.54 : 3,329.31 = 2,084.22 : x
  2. Step 2: Convert to fraction form
    2,219.54/3,329.31 = 2,084.22/x
  3. Step 3: Cross multiply
    2,219.54x = 3,329.31 × 2,084.22
  4. Step 4: Simplify right side
    2,219.54x = 6,939,022.30
  5. Step 5: Solve for x
    x = 6,939,022.30/2,219.54
  6. Step 6: Final answer
    x = 3,126.33

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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.