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Finding the Fourth Proportional to 1,631.08, 2,446.96 and 808.39

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Solution

The fourth proportional to 1,631.08, 2,446.96 and 808.39 is: 1,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.08 : 2,446.96 = 808.39 : x
  2. Step 2: Convert to fraction form
    1,631.08/2,446.96 = 808.39/x
  3. Step 3: Cross multiply
    1,631.08x = 2,446.96 × 808.39
  4. Step 4: Simplify right side
    1,631.08x = 1,978,097.99
  5. Step 5: Solve for x
    x = 1,978,097.99/1,631.08
  6. Step 6: Final answer
    x = 1,212.75

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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.