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Finding the Fourth Proportional to 2,769.32, 3,817.24 and 2,178.84

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Solution

The fourth proportional to 2,769.32, 3,817.24 and 2,178.84 is: 3,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.32 : 3,817.24 = 2,178.84 : x
  2. Step 2: Convert to fraction form
    2,769.32/3,817.24 = 2,178.84/x
  3. Step 3: Cross multiply
    2,769.32x = 3,817.24 × 2,178.84
  4. Step 4: Simplify right side
    2,769.32x = 8,317,155.20
  5. Step 5: Solve for x
    x = 8,317,155.20/2,769.32
  6. Step 6: Final answer
    x = 3,003.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.