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Finding the Fourth Proportional to 3,171.33, 4,380.62 and 2,434.40

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Solution

The fourth proportional to 3,171.33, 4,380.62 and 2,434.40 is: 3,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.33 : 4,380.62 = 2,434.40 : x
  2. Step 2: Convert to fraction form
    3,171.33/4,380.62 = 2,434.40/x
  3. Step 3: Cross multiply
    3,171.33x = 4,380.62 × 2,434.40
  4. Step 4: Simplify right side
    3,171.33x = 10,664,156.38
  5. Step 5: Solve for x
    x = 10,664,156.38/3,171.33
  6. Step 6: Final answer
    x = 3,362.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.