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Finding the Fourth Proportional to 1,671.44, 2,507.49 and 1,399.43

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Solution

The fourth proportional to 1,671.44, 2,507.49 and 1,399.43 is: 2,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.44 : 2,507.49 = 1,399.43 : x
  2. Step 2: Convert to fraction form
    1,671.44/2,507.49 = 1,399.43/x
  3. Step 3: Cross multiply
    1,671.44x = 2,507.49 × 1,399.43
  4. Step 4: Simplify right side
    1,671.44x = 3,509,056.73
  5. Step 5: Solve for x
    x = 3,509,056.73/1,671.44
  6. Step 6: Final answer
    x = 2,099.42

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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.