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Finding the Fourth Proportional to 2,536.88, 3,805.34 and 997.88

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Solution

The fourth proportional to 2,536.88, 3,805.34 and 997.88 is: 1,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.88 : 3,805.34 = 997.88 : x
  2. Step 2: Convert to fraction form
    2,536.88/3,805.34 = 997.88/x
  3. Step 3: Cross multiply
    2,536.88x = 3,805.34 × 997.88
  4. Step 4: Simplify right side
    2,536.88x = 3,797,248.66
  5. Step 5: Solve for x
    x = 3,797,248.66/2,536.88
  6. Step 6: Final answer
    x = 1,496.82

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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.