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Finding the Fourth Proportional to 2,292.49, 3,439.97 and 994.06

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Solution

The fourth proportional to 2,292.49, 3,439.97 and 994.06 is: 1,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.49 : 3,439.97 = 994.06 : x
  2. Step 2: Convert to fraction form
    2,292.49/3,439.97 = 994.06/x
  3. Step 3: Cross multiply
    2,292.49x = 3,439.97 × 994.06
  4. Step 4: Simplify right side
    2,292.49x = 3,419,514.41
  5. Step 5: Solve for x
    x = 3,419,514.41/2,292.49
  6. Step 6: Final answer
    x = 1,491.62

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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.