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Finding the Fourth Proportional to 2,967.38, 4,096.32 and 2,132.27

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Solution

The fourth proportional to 2,967.38, 4,096.32 and 2,132.27 is: 2,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.38 : 4,096.32 = 2,132.27 : x
  2. Step 2: Convert to fraction form
    2,967.38/4,096.32 = 2,132.27/x
  3. Step 3: Cross multiply
    2,967.38x = 4,096.32 × 2,132.27
  4. Step 4: Simplify right side
    2,967.38x = 8,734,460.25
  5. Step 5: Solve for x
    x = 8,734,460.25/2,967.38
  6. Step 6: Final answer
    x = 2,943.49

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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.