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Finding the Fourth Proportional to 2,119.20, 3,178.80 and 559.20

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Solution

The fourth proportional to 2,119.20, 3,178.80 and 559.20 is: 838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.20 : 3,178.80 = 559.20 : x
  2. Step 2: Convert to fraction form
    2,119.20/3,178.80 = 559.20/x
  3. Step 3: Cross multiply
    2,119.20x = 3,178.80 × 559.20
  4. Step 4: Simplify right side
    2,119.20x = 1,777,584.96
  5. Step 5: Solve for x
    x = 1,777,584.96/2,119.20
  6. Step 6: Final answer
    x = 838.80

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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.