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Finding the Fourth Proportional to 1,735.12, 2,601.81 and 994.61

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Solution

The fourth proportional to 1,735.12, 2,601.81 and 994.61 is: 1,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.12 : 2,601.81 = 994.61 : x
  2. Step 2: Convert to fraction form
    1,735.12/2,601.81 = 994.61/x
  3. Step 3: Cross multiply
    1,735.12x = 2,601.81 × 994.61
  4. Step 4: Simplify right side
    1,735.12x = 2,587,786.24
  5. Step 5: Solve for x
    x = 2,587,786.24/1,735.12
  6. Step 6: Final answer
    x = 1,491.42

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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.