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Finding the Fourth Proportional to 2,654.99, 3,982.96 and 1,011.69

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Solution

The fourth proportional to 2,654.99, 3,982.96 and 1,011.69 is: 1,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.99 : 3,982.96 = 1,011.69 : x
  2. Step 2: Convert to fraction form
    2,654.99/3,982.96 = 1,011.69/x
  3. Step 3: Cross multiply
    2,654.99x = 3,982.96 × 1,011.69
  4. Step 4: Simplify right side
    2,654.99x = 4,029,515.74
  5. Step 5: Solve for x
    x = 4,029,515.74/2,654.99
  6. Step 6: Final answer
    x = 1,517.71

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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.