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Finding the Fourth Proportional to 4,654.84, 6,982.31 and 1,367.99

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Solution

The fourth proportional to 4,654.84, 6,982.31 and 1,367.99 is: 2,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.84 : 6,982.31 = 1,367.99 : x
  2. Step 2: Convert to fraction form
    4,654.84/6,982.31 = 1,367.99/x
  3. Step 3: Cross multiply
    4,654.84x = 6,982.31 × 1,367.99
  4. Step 4: Simplify right side
    4,654.84x = 9,551,723.42
  5. Step 5: Solve for x
    x = 9,551,723.42/4,654.84
  6. Step 6: Final answer
    x = 2,052.00

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Why These Related Problems?

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