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Finding the Fourth Proportional to 1,769.26, 2,654.44 and 614.92

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Solution

The fourth proportional to 1,769.26, 2,654.44 and 614.92 is: 922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.26 : 2,654.44 = 614.92 : x
  2. Step 2: Convert to fraction form
    1,769.26/2,654.44 = 614.92/x
  3. Step 3: Cross multiply
    1,769.26x = 2,654.44 × 614.92
  4. Step 4: Simplify right side
    1,769.26x = 1,632,268.24
  5. Step 5: Solve for x
    x = 1,632,268.24/1,769.26
  6. Step 6: Final answer
    x = 922.57

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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.