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Finding the Fourth Proportional to 4,654.91, 6,982.31 and 1,367.89

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Solution

The fourth proportional to 4,654.91, 6,982.31 and 1,367.89 is: 2,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.91 : 6,982.31 = 1,367.89 : x
  2. Step 2: Convert to fraction form
    4,654.91/6,982.31 = 1,367.89/x
  3. Step 3: Cross multiply
    4,654.91x = 6,982.31 × 1,367.89
  4. Step 4: Simplify right side
    4,654.91x = 9,551,017.99
  5. Step 5: Solve for x
    x = 9,551,017.99/4,654.91
  6. Step 6: Final answer
    x = 2,051.81

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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.