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Finding the Fourth Proportional to 1,837.05, 2,755.97 and 862.62

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Solution

The fourth proportional to 1,837.05, 2,755.97 and 862.62 is: 1,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.05 : 2,755.97 = 862.62 : x
  2. Step 2: Convert to fraction form
    1,837.05/2,755.97 = 862.62/x
  3. Step 3: Cross multiply
    1,837.05x = 2,755.97 × 862.62
  4. Step 4: Simplify right side
    1,837.05x = 2,377,354.84
  5. Step 5: Solve for x
    x = 2,377,354.84/1,837.05
  6. Step 6: Final answer
    x = 1,294.12

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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.