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Finding the Fourth Proportional to 2,537.98, 3,806.85 and 663.88

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Solution

The fourth proportional to 2,537.98, 3,806.85 and 663.88 is: 995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.98 : 3,806.85 = 663.88 : x
  2. Step 2: Convert to fraction form
    2,537.98/3,806.85 = 663.88/x
  3. Step 3: Cross multiply
    2,537.98x = 3,806.85 × 663.88
  4. Step 4: Simplify right side
    2,537.98x = 2,527,291.58
  5. Step 5: Solve for x
    x = 2,527,291.58/2,537.98
  6. Step 6: Final answer
    x = 995.79

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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.