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Finding the Fourth Proportional to 2,654.19, 3,982.14 and 805.50

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Solution

The fourth proportional to 2,654.19, 3,982.14 and 805.50 is: 1,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.19 : 3,982.14 = 805.50 : x
  2. Step 2: Convert to fraction form
    2,654.19/3,982.14 = 805.50/x
  3. Step 3: Cross multiply
    2,654.19x = 3,982.14 × 805.50
  4. Step 4: Simplify right side
    2,654.19x = 3,207,613.77
  5. Step 5: Solve for x
    x = 3,207,613.77/2,654.19
  6. Step 6: Final answer
    x = 1,208.51

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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.