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Finding the Fourth Proportional to 2,709.44, 3,737.04 and 2,046.32

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Solution

The fourth proportional to 2,709.44, 3,737.04 and 2,046.32 is: 2,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.44 : 3,737.04 = 2,046.32 : x
  2. Step 2: Convert to fraction form
    2,709.44/3,737.04 = 2,046.32/x
  3. Step 3: Cross multiply
    2,709.44x = 3,737.04 × 2,046.32
  4. Step 4: Simplify right side
    2,709.44x = 7,647,179.69
  5. Step 5: Solve for x
    x = 7,647,179.69/2,709.44
  6. Step 6: Final answer
    x = 2,822.42

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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.