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Finding the Fourth Proportional to 1,789.96, 2,685.84 and 816.24

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Solution

The fourth proportional to 1,789.96, 2,685.84 and 816.24 is: 1,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.96 : 2,685.84 = 816.24 : x
  2. Step 2: Convert to fraction form
    1,789.96/2,685.84 = 816.24/x
  3. Step 3: Cross multiply
    1,789.96x = 2,685.84 × 816.24
  4. Step 4: Simplify right side
    1,789.96x = 2,192,290.04
  5. Step 5: Solve for x
    x = 2,192,290.04/1,789.96
  6. Step 6: Final answer
    x = 1,224.77

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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.