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Finding the Fourth Proportional to 2,654.28, 3,981.46 and 805.42

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Solution

The fourth proportional to 2,654.28, 3,981.46 and 805.42 is: 1,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.28 : 3,981.46 = 805.42 : x
  2. Step 2: Convert to fraction form
    2,654.28/3,981.46 = 805.42/x
  3. Step 3: Cross multiply
    2,654.28x = 3,981.46 × 805.42
  4. Step 4: Simplify right side
    2,654.28x = 3,206,747.51
  5. Step 5: Solve for x
    x = 3,206,747.51/2,654.28
  6. Step 6: Final answer
    x = 1,208.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.