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Finding the Fourth Proportional to 1,742.46, 2,404.79 and 996.49

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Solution

The fourth proportional to 1,742.46, 2,404.79 and 996.49 is: 1,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.46 : 2,404.79 = 996.49 : x
  2. Step 2: Convert to fraction form
    1,742.46/2,404.79 = 996.49/x
  3. Step 3: Cross multiply
    1,742.46x = 2,404.79 × 996.49
  4. Step 4: Simplify right side
    1,742.46x = 2,396,347.57
  5. Step 5: Solve for x
    x = 2,396,347.57/1,742.46
  6. Step 6: Final answer
    x = 1,375.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.