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Finding the Fourth Proportional to 2,043.96, 3,063.75 and 809.66

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Solution

The fourth proportional to 2,043.96, 3,063.75 and 809.66 is: 1,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.96 : 3,063.75 = 809.66 : x
  2. Step 2: Convert to fraction form
    2,043.96/3,063.75 = 809.66/x
  3. Step 3: Cross multiply
    2,043.96x = 3,063.75 × 809.66
  4. Step 4: Simplify right side
    2,043.96x = 2,480,595.83
  5. Step 5: Solve for x
    x = 2,480,595.83/2,043.96
  6. Step 6: Final answer
    x = 1,213.62

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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.