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Finding the Fourth Proportional to 2,119.70, 3,179.85 and 803.09

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Solution

The fourth proportional to 2,119.70, 3,179.85 and 803.09 is: 1,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.70 : 3,179.85 = 803.09 : x
  2. Step 2: Convert to fraction form
    2,119.70/3,179.85 = 803.09/x
  3. Step 3: Cross multiply
    2,119.70x = 3,179.85 × 803.09
  4. Step 4: Simplify right side
    2,119.70x = 2,553,701.72
  5. Step 5: Solve for x
    x = 2,553,701.72/2,119.70
  6. Step 6: Final answer
    x = 1,204.75

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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.