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Finding the Fourth Proportional to 2,219.46, 3,328.19 and 1,049.21

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Solution

The fourth proportional to 2,219.46, 3,328.19 and 1,049.21 is: 1,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.46 : 3,328.19 = 1,049.21 : x
  2. Step 2: Convert to fraction form
    2,219.46/3,328.19 = 1,049.21/x
  3. Step 3: Cross multiply
    2,219.46x = 3,328.19 × 1,049.21
  4. Step 4: Simplify right side
    2,219.46x = 3,491,970.23
  5. Step 5: Solve for x
    x = 3,491,970.23/2,219.46
  6. Step 6: Final answer
    x = 1,573.34

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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.