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Finding the Fourth Proportional to 3,448.48, 5,171.46 and 1,256.56

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Solution

The fourth proportional to 3,448.48, 5,171.46 and 1,256.56 is: 1,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.48 : 5,171.46 = 1,256.56 : x
  2. Step 2: Convert to fraction form
    3,448.48/5,171.46 = 1,256.56/x
  3. Step 3: Cross multiply
    3,448.48x = 5,171.46 × 1,256.56
  4. Step 4: Simplify right side
    3,448.48x = 6,498,249.78
  5. Step 5: Solve for x
    x = 6,498,249.78/3,448.48
  6. Step 6: Final answer
    x = 1,884.38

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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.