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Finding the Fourth Proportional to 2,737.28, 4,103.86 and 1,419.62

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Solution

The fourth proportional to 2,737.28, 4,103.86 and 1,419.62 is: 2,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.28 : 4,103.86 = 1,419.62 : x
  2. Step 2: Convert to fraction form
    2,737.28/4,103.86 = 1,419.62/x
  3. Step 3: Cross multiply
    2,737.28x = 4,103.86 × 1,419.62
  4. Step 4: Simplify right side
    2,737.28x = 5,825,921.73
  5. Step 5: Solve for x
    x = 5,825,921.73/2,737.28
  6. Step 6: Final answer
    x = 2,128.36

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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.