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Finding the Fourth Proportional to 2,486.56, 3,729.84 and 637.68

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Solution

The fourth proportional to 2,486.56, 3,729.84 and 637.68 is: 956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.56 : 3,729.84 = 637.68 : x
  2. Step 2: Convert to fraction form
    2,486.56/3,729.84 = 637.68/x
  3. Step 3: Cross multiply
    2,486.56x = 3,729.84 × 637.68
  4. Step 4: Simplify right side
    2,486.56x = 2,378,425.72
  5. Step 5: Solve for x
    x = 2,378,425.72/2,486.56
  6. Step 6: Final answer
    x = 956.51

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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.