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Finding the Fourth Proportional to 1,448.53, 2,171.72 and 871.27

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Solution

The fourth proportional to 1,448.53, 2,171.72 and 871.27 is: 1,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.53 : 2,171.72 = 871.27 : x
  2. Step 2: Convert to fraction form
    1,448.53/2,171.72 = 871.27/x
  3. Step 3: Cross multiply
    1,448.53x = 2,171.72 × 871.27
  4. Step 4: Simplify right side
    1,448.53x = 1,892,150.13
  5. Step 5: Solve for x
    x = 1,892,150.13/1,448.53
  6. Step 6: Final answer
    x = 1,306.26

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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.