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Finding the Fourth Proportional to 2,556.52, 3,832.12 and 1,734.86

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Solution

The fourth proportional to 2,556.52, 3,832.12 and 1,734.86 is: 2,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.52 : 3,832.12 = 1,734.86 : x
  2. Step 2: Convert to fraction form
    2,556.52/3,832.12 = 1,734.86/x
  3. Step 3: Cross multiply
    2,556.52x = 3,832.12 × 1,734.86
  4. Step 4: Simplify right side
    2,556.52x = 6,648,191.70
  5. Step 5: Solve for x
    x = 6,648,191.70/2,556.52
  6. Step 6: Final answer
    x = 2,600.48

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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.