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Finding the Fourth Proportional to 2,119.98, 3,179.46 and 949.32

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Solution

The fourth proportional to 2,119.98, 3,179.46 and 949.32 is: 1,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.98 : 3,179.46 = 949.32 : x
  2. Step 2: Convert to fraction form
    2,119.98/3,179.46 = 949.32/x
  3. Step 3: Cross multiply
    2,119.98x = 3,179.46 × 949.32
  4. Step 4: Simplify right side
    2,119.98x = 3,018,324.97
  5. Step 5: Solve for x
    x = 3,018,324.97/2,119.98
  6. Step 6: Final answer
    x = 1,423.75

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Why These Related Problems?

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