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Finding the Fourth Proportional to 3,182.49, 4,775.09 and 1,540.42

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Solution

The fourth proportional to 3,182.49, 4,775.09 and 1,540.42 is: 2,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.49 : 4,775.09 = 1,540.42 : x
  2. Step 2: Convert to fraction form
    3,182.49/4,775.09 = 1,540.42/x
  3. Step 3: Cross multiply
    3,182.49x = 4,775.09 × 1,540.42
  4. Step 4: Simplify right side
    3,182.49x = 7,355,624.50
  5. Step 5: Solve for x
    x = 7,355,624.50/3,182.49
  6. Step 6: Final answer
    x = 2,311.28

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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.