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Finding the Fourth Proportional to 1,905.23, 2,856.96 and 809.03

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Solution

The fourth proportional to 1,905.23, 2,856.96 and 809.03 is: 1,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.23 : 2,856.96 = 809.03 : x
  2. Step 2: Convert to fraction form
    1,905.23/2,856.96 = 809.03/x
  3. Step 3: Cross multiply
    1,905.23x = 2,856.96 × 809.03
  4. Step 4: Simplify right side
    1,905.23x = 2,311,366.35
  5. Step 5: Solve for x
    x = 2,311,366.35/1,905.23
  6. Step 6: Final answer
    x = 1,213.17

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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.