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Finding the Fourth Proportional to 1,447.62, 2,171.75 and 798.02

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Solution

The fourth proportional to 1,447.62, 2,171.75 and 798.02 is: 1,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.62 : 2,171.75 = 798.02 : x
  2. Step 2: Convert to fraction form
    1,447.62/2,171.75 = 798.02/x
  3. Step 3: Cross multiply
    1,447.62x = 2,171.75 × 798.02
  4. Step 4: Simplify right side
    1,447.62x = 1,733,099.94
  5. Step 5: Solve for x
    x = 1,733,099.94/1,447.62
  6. Step 6: Final answer
    x = 1,197.21

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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.