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Finding the Fourth Proportional to 2,119.14, 3,178.44 and 819.72

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Solution

The fourth proportional to 2,119.14, 3,178.44 and 819.72 is: 1,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.14 : 3,178.44 = 819.72 : x
  2. Step 2: Convert to fraction form
    2,119.14/3,178.44 = 819.72/x
  3. Step 3: Cross multiply
    2,119.14x = 3,178.44 × 819.72
  4. Step 4: Simplify right side
    2,119.14x = 2,605,430.84
  5. Step 5: Solve for x
    x = 2,605,430.84/2,119.14
  6. Step 6: Final answer
    x = 1,229.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.