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Finding the Fourth Proportional to 3,281.28, 4,922.73 and 1,549.50

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Solution

The fourth proportional to 3,281.28, 4,922.73 and 1,549.50 is: 2,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.28 : 4,922.73 = 1,549.50 : x
  2. Step 2: Convert to fraction form
    3,281.28/4,922.73 = 1,549.50/x
  3. Step 3: Cross multiply
    3,281.28x = 4,922.73 × 1,549.50
  4. Step 4: Simplify right side
    3,281.28x = 7,627,770.14
  5. Step 5: Solve for x
    x = 7,627,770.14/3,281.28
  6. Step 6: Final answer
    x = 2,324.63

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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.