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Finding the Fourth Proportional to 2,735.43, 3,775.17 and 1,556.74

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Solution

The fourth proportional to 2,735.43, 3,775.17 and 1,556.74 is: 2,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.43 : 3,775.17 = 1,556.74 : x
  2. Step 2: Convert to fraction form
    2,735.43/3,775.17 = 1,556.74/x
  3. Step 3: Cross multiply
    2,735.43x = 3,775.17 × 1,556.74
  4. Step 4: Simplify right side
    2,735.43x = 5,876,958.15
  5. Step 5: Solve for x
    x = 5,876,958.15/2,735.43
  6. Step 6: Final answer
    x = 2,148.46

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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.