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Finding the Fourth Proportional to 3,219.04, 4,442.24 and 1,747.04

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Solution

The fourth proportional to 3,219.04, 4,442.24 and 1,747.04 is: 2,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.04 : 4,442.24 = 1,747.04 : x
  2. Step 2: Convert to fraction form
    3,219.04/4,442.24 = 1,747.04/x
  3. Step 3: Cross multiply
    3,219.04x = 4,442.24 × 1,747.04
  4. Step 4: Simplify right side
    3,219.04x = 7,760,770.97
  5. Step 5: Solve for x
    x = 7,760,770.97/3,219.04
  6. Step 6: Final answer
    x = 2,410.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.