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Finding the Fourth Proportional to 2,645.84, 3,968.55 and 698.03

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Solution

The fourth proportional to 2,645.84, 3,968.55 and 698.03 is: 1,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.84 : 3,968.55 = 698.03 : x
  2. Step 2: Convert to fraction form
    2,645.84/3,968.55 = 698.03/x
  3. Step 3: Cross multiply
    2,645.84x = 3,968.55 × 698.03
  4. Step 4: Simplify right side
    2,645.84x = 2,770,147.11
  5. Step 5: Solve for x
    x = 2,770,147.11/2,645.84
  6. Step 6: Final answer
    x = 1,046.98

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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.