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Finding the Fourth Proportional to 3,027.42, 4,178.12 and 1,769.09

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Solution

The fourth proportional to 3,027.42, 4,178.12 and 1,769.09 is: 2,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.42 : 4,178.12 = 1,769.09 : x
  2. Step 2: Convert to fraction form
    3,027.42/4,178.12 = 1,769.09/x
  3. Step 3: Cross multiply
    3,027.42x = 4,178.12 × 1,769.09
  4. Step 4: Simplify right side
    3,027.42x = 7,391,440.57
  5. Step 5: Solve for x
    x = 7,391,440.57/3,027.42
  6. Step 6: Final answer
    x = 2,441.50

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