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Finding the Fourth Proportional to 1,693.62, 2,540.34 and 461.03

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Solution

The fourth proportional to 1,693.62, 2,540.34 and 461.03 is: 691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.62 : 2,540.34 = 461.03 : x
  2. Step 2: Convert to fraction form
    1,693.62/2,540.34 = 461.03/x
  3. Step 3: Cross multiply
    1,693.62x = 2,540.34 × 461.03
  4. Step 4: Simplify right side
    1,693.62x = 1,171,160.25
  5. Step 5: Solve for x
    x = 1,171,160.25/1,693.62
  6. Step 6: Final answer
    x = 691.51

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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.