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Finding the Fourth Proportional to 2,097.24, 3,144.84 and 636.08

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Solution

The fourth proportional to 2,097.24, 3,144.84 and 636.08 is: 953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.24 : 3,144.84 = 636.08 : x
  2. Step 2: Convert to fraction form
    2,097.24/3,144.84 = 636.08/x
  3. Step 3: Cross multiply
    2,097.24x = 3,144.84 × 636.08
  4. Step 4: Simplify right side
    2,097.24x = 2,000,354.10
  5. Step 5: Solve for x
    x = 2,000,354.10/2,097.24
  6. Step 6: Final answer
    x = 953.80

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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.