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Finding the Fourth Proportional to 1,903.73, 2,855.99 and 808.61

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Solution

The fourth proportional to 1,903.73, 2,855.99 and 808.61 is: 1,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.73 : 2,855.99 = 808.61 : x
  2. Step 2: Convert to fraction form
    1,903.73/2,855.99 = 808.61/x
  3. Step 3: Cross multiply
    1,903.73x = 2,855.99 × 808.61
  4. Step 4: Simplify right side
    1,903.73x = 2,309,369.82
  5. Step 5: Solve for x
    x = 2,309,369.82/1,903.73
  6. Step 6: Final answer
    x = 1,213.08

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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.