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Finding the Fourth Proportional to 3,171.04, 4,754.53 and 1,524.31

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Solution

The fourth proportional to 3,171.04, 4,754.53 and 1,524.31 is: 2,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.04 : 4,754.53 = 1,524.31 : x
  2. Step 2: Convert to fraction form
    3,171.04/4,754.53 = 1,524.31/x
  3. Step 3: Cross multiply
    3,171.04x = 4,754.53 × 1,524.31
  4. Step 4: Simplify right side
    3,171.04x = 7,247,377.62
  5. Step 5: Solve for x
    x = 7,247,377.62/3,171.04
  6. Step 6: Final answer
    x = 2,285.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.