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Finding the Fourth Proportional to 2,174, 3,261.48 and 806

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Solution

The fourth proportional to 2,174, 3,261.48 and 806 is: 1,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174 : 3,261.48 = 806 : x
  2. Step 2: Convert to fraction form
    2,174/3,261.48 = 806/x
  3. Step 3: Cross multiply
    2,174x = 3,261.48 × 806
  4. Step 4: Simplify right side
    2,174x = 2,628,752.88
  5. Step 5: Solve for x
    x = 2,628,752.88/2,174
  6. Step 6: Final answer
    x = 1,209.18

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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.