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Finding the Fourth Proportional to 2,654.38, 3,981.42 and 805.48

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Solution

The fourth proportional to 2,654.38, 3,981.42 and 805.48 is: 1,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.38 : 3,981.42 = 805.48 : x
  2. Step 2: Convert to fraction form
    2,654.38/3,981.42 = 805.48/x
  3. Step 3: Cross multiply
    2,654.38x = 3,981.42 × 805.48
  4. Step 4: Simplify right side
    2,654.38x = 3,206,954.18
  5. Step 5: Solve for x
    x = 3,206,954.18/2,654.38
  6. Step 6: Final answer
    x = 1,208.17

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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.