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Finding the Fourth Proportional to 2,654.65, 3,982.04 and 965.99

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Solution

The fourth proportional to 2,654.65, 3,982.04 and 965.99 is: 1,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.65 : 3,982.04 = 965.99 : x
  2. Step 2: Convert to fraction form
    2,654.65/3,982.04 = 965.99/x
  3. Step 3: Cross multiply
    2,654.65x = 3,982.04 × 965.99
  4. Step 4: Simplify right side
    2,654.65x = 3,846,618.36
  5. Step 5: Solve for x
    x = 3,846,618.36/2,654.65
  6. Step 6: Final answer
    x = 1,449.01

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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.