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Finding the Fourth Proportional to 1,905.63, 2,855.89 and 808.62

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Solution

The fourth proportional to 1,905.63, 2,855.89 and 808.62 is: 1,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.63 : 2,855.89 = 808.62 : x
  2. Step 2: Convert to fraction form
    1,905.63/2,855.89 = 808.62/x
  3. Step 3: Cross multiply
    1,905.63x = 2,855.89 × 808.62
  4. Step 4: Simplify right side
    1,905.63x = 2,309,320.07
  5. Step 5: Solve for x
    x = 2,309,320.07/1,905.63
  6. Step 6: Final answer
    x = 1,211.84

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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.