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Finding the Fourth Proportional to 2,097.63, 3,146.09 and 636.43

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Solution

The fourth proportional to 2,097.63, 3,146.09 and 636.43 is: 954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.63 : 3,146.09 = 636.43 : x
  2. Step 2: Convert to fraction form
    2,097.63/3,146.09 = 636.43/x
  3. Step 3: Cross multiply
    2,097.63x = 3,146.09 × 636.43
  4. Step 4: Simplify right side
    2,097.63x = 2,002,266.06
  5. Step 5: Solve for x
    x = 2,002,266.06/2,097.63
  6. Step 6: Final answer
    x = 954.54

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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.