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Finding the Fourth Proportional to 1,855.29, 2,781.11 and 815.85

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Solution

The fourth proportional to 1,855.29, 2,781.11 and 815.85 is: 1,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.29 : 2,781.11 = 815.85 : x
  2. Step 2: Convert to fraction form
    1,855.29/2,781.11 = 815.85/x
  3. Step 3: Cross multiply
    1,855.29x = 2,781.11 × 815.85
  4. Step 4: Simplify right side
    1,855.29x = 2,268,964.51
  5. Step 5: Solve for x
    x = 2,268,964.51/1,855.29
  6. Step 6: Final answer
    x = 1,222.97

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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.