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Finding the Fourth Proportional to 2,178.09, 3,267.39 and 792.08

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Solution

The fourth proportional to 2,178.09, 3,267.39 and 792.08 is: 1,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.09 : 3,267.39 = 792.08 : x
  2. Step 2: Convert to fraction form
    2,178.09/3,267.39 = 792.08/x
  3. Step 3: Cross multiply
    2,178.09x = 3,267.39 × 792.08
  4. Step 4: Simplify right side
    2,178.09x = 2,588,028.70
  5. Step 5: Solve for x
    x = 2,588,028.70/2,178.09
  6. Step 6: Final answer
    x = 1,188.21

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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.