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Finding the Fourth Proportional to 2,734.08, 4,093.80 and 2,135.08

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Solution

The fourth proportional to 2,734.08, 4,093.80 and 2,135.08 is: 3,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.08 : 4,093.80 = 2,135.08 : x
  2. Step 2: Convert to fraction form
    2,734.08/4,093.80 = 2,135.08/x
  3. Step 3: Cross multiply
    2,734.08x = 4,093.80 × 2,135.08
  4. Step 4: Simplify right side
    2,734.08x = 8,740,590.50
  5. Step 5: Solve for x
    x = 8,740,590.50/2,734.08
  6. Step 6: Final answer
    x = 3,196.90

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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.