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Finding the Fourth Proportional to 1,905.49, 2,858.46 and 809.25

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Solution

The fourth proportional to 1,905.49, 2,858.46 and 809.25 is: 1,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.49 : 2,858.46 = 809.25 : x
  2. Step 2: Convert to fraction form
    1,905.49/2,858.46 = 809.25/x
  3. Step 3: Cross multiply
    1,905.49x = 2,858.46 × 809.25
  4. Step 4: Simplify right side
    1,905.49x = 2,313,208.76
  5. Step 5: Solve for x
    x = 2,313,208.76/1,905.49
  6. Step 6: Final answer
    x = 1,213.97

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1.5x scale

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.