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Finding the Fourth Proportional to 2,654.87, 3,982.32 and 707.09

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Solution

The fourth proportional to 2,654.87, 3,982.32 and 707.09 is: 1,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.87 : 3,982.32 = 707.09 : x
  2. Step 2: Convert to fraction form
    2,654.87/3,982.32 = 707.09/x
  3. Step 3: Cross multiply
    2,654.87x = 3,982.32 × 707.09
  4. Step 4: Simplify right side
    2,654.87x = 2,815,838.74
  5. Step 5: Solve for x
    x = 2,815,838.74/2,654.87
  6. Step 6: Final answer
    x = 1,060.63

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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.