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Finding the Fourth Proportional to 1,743.24, 2,405.61 and 997.27

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Solution

The fourth proportional to 1,743.24, 2,405.61 and 997.27 is: 1,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.24 : 2,405.61 = 997.27 : x
  2. Step 2: Convert to fraction form
    1,743.24/2,405.61 = 997.27/x
  3. Step 3: Cross multiply
    1,743.24x = 2,405.61 × 997.27
  4. Step 4: Simplify right side
    1,743.24x = 2,399,034.25
  5. Step 5: Solve for x
    x = 2,399,034.25/1,743.24
  6. Step 6: Final answer
    x = 1,376.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.