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Finding the Fourth Proportional to 2,654.84, 3,982.26 and 706.94

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Solution

The fourth proportional to 2,654.84, 3,982.26 and 706.94 is: 1,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.84 : 3,982.26 = 706.94 : x
  2. Step 2: Convert to fraction form
    2,654.84/3,982.26 = 706.94/x
  3. Step 3: Cross multiply
    2,654.84x = 3,982.26 × 706.94
  4. Step 4: Simplify right side
    2,654.84x = 2,815,218.88
  5. Step 5: Solve for x
    x = 2,815,218.88/2,654.84
  6. Step 6: Final answer
    x = 1,060.41

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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.