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Finding the Fourth Proportional to 1,743.03, 2,614.41 and 444.38

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Solution

The fourth proportional to 1,743.03, 2,614.41 and 444.38 is: 666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.03 : 2,614.41 = 444.38 : x
  2. Step 2: Convert to fraction form
    1,743.03/2,614.41 = 444.38/x
  3. Step 3: Cross multiply
    1,743.03x = 2,614.41 × 444.38
  4. Step 4: Simplify right side
    1,743.03x = 1,161,778.44
  5. Step 5: Solve for x
    x = 1,161,778.44/1,743.03
  6. Step 6: Final answer
    x = 666.53

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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.