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Finding the Fourth Proportional to 1,742.54, 2,404.76 and 996.44

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Solution

The fourth proportional to 1,742.54, 2,404.76 and 996.44 is: 1,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.54 : 2,404.76 = 996.44 : x
  2. Step 2: Convert to fraction form
    1,742.54/2,404.76 = 996.44/x
  3. Step 3: Cross multiply
    1,742.54x = 2,404.76 × 996.44
  4. Step 4: Simplify right side
    1,742.54x = 2,396,182.05
  5. Step 5: Solve for x
    x = 2,396,182.05/1,742.54
  6. Step 6: Final answer
    x = 1,375.11

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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.