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Finding the Fourth Proportional to 2,328.80, 3,493.22 and 685.37

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Solution

The fourth proportional to 2,328.80, 3,493.22 and 685.37 is: 1,028.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.80 : 3,493.22 = 685.37 : x
  2. Step 2: Convert to fraction form
    2,328.80/3,493.22 = 685.37/x
  3. Step 3: Cross multiply
    2,328.80x = 3,493.22 × 685.37
  4. Step 4: Simplify right side
    2,328.80x = 2,394,153.50
  5. Step 5: Solve for x
    x = 2,394,153.50/2,328.80
  6. Step 6: Final answer
    x = 1,028.06

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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.