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Finding the Fourth Proportional to 1,905.14, 2,858.11 and 809.48

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Solution

The fourth proportional to 1,905.14, 2,858.11 and 809.48 is: 1,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.14 : 2,858.11 = 809.48 : x
  2. Step 2: Convert to fraction form
    1,905.14/2,858.11 = 809.48/x
  3. Step 3: Cross multiply
    1,905.14x = 2,858.11 × 809.48
  4. Step 4: Simplify right side
    1,905.14x = 2,313,588.00
  5. Step 5: Solve for x
    x = 2,313,588.00/1,905.14
  6. Step 6: Final answer
    x = 1,214.39

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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.