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Finding the Fourth Proportional to 1,841.38, 2,755.64 and 1,734.78

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Solution

The fourth proportional to 1,841.38, 2,755.64 and 1,734.78 is: 2,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.38 : 2,755.64 = 1,734.78 : x
  2. Step 2: Convert to fraction form
    1,841.38/2,755.64 = 1,734.78/x
  3. Step 3: Cross multiply
    1,841.38x = 2,755.64 × 1,734.78
  4. Step 4: Simplify right side
    1,841.38x = 4,780,429.16
  5. Step 5: Solve for x
    x = 4,780,429.16/1,841.38
  6. Step 6: Final answer
    x = 2,596.11

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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.