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Finding the Fourth Proportional to 1,904.30, 2,857.89 and 809.43

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Solution

The fourth proportional to 1,904.30, 2,857.89 and 809.43 is: 1,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.30 : 2,857.89 = 809.43 : x
  2. Step 2: Convert to fraction form
    1,904.30/2,857.89 = 809.43/x
  3. Step 3: Cross multiply
    1,904.30x = 2,857.89 × 809.43
  4. Step 4: Simplify right side
    1,904.30x = 2,313,261.90
  5. Step 5: Solve for x
    x = 2,313,261.90/1,904.30
  6. Step 6: Final answer
    x = 1,214.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.