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Finding the Fourth Proportional to 2,104.47, 3,154.68 and 1,179.09

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Solution

The fourth proportional to 2,104.47, 3,154.68 and 1,179.09 is: 1,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.47 : 3,154.68 = 1,179.09 : x
  2. Step 2: Convert to fraction form
    2,104.47/3,154.68 = 1,179.09/x
  3. Step 3: Cross multiply
    2,104.47x = 3,154.68 × 1,179.09
  4. Step 4: Simplify right side
    2,104.47x = 3,719,651.64
  5. Step 5: Solve for x
    x = 3,719,651.64/2,104.47
  6. Step 6: Final answer
    x = 1,767.50

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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.