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Finding the Fourth Proportional to 2,734.35, 3,775.78 and 2,143.86

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Solution

The fourth proportional to 2,734.35, 3,775.78 and 2,143.86 is: 2,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.35 : 3,775.78 = 2,143.86 : x
  2. Step 2: Convert to fraction form
    2,734.35/3,775.78 = 2,143.86/x
  3. Step 3: Cross multiply
    2,734.35x = 3,775.78 × 2,143.86
  4. Step 4: Simplify right side
    2,734.35x = 8,094,743.71
  5. Step 5: Solve for x
    x = 8,094,743.71/2,734.35
  6. Step 6: Final answer
    x = 2,960.39

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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.