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Finding the Fourth Proportional to 1,744.42, 2,614.31 and 1,512.22

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Solution

The fourth proportional to 1,744.42, 2,614.31 and 1,512.22 is: 2,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.42 : 2,614.31 = 1,512.22 : x
  2. Step 2: Convert to fraction form
    1,744.42/2,614.31 = 1,512.22/x
  3. Step 3: Cross multiply
    1,744.42x = 2,614.31 × 1,512.22
  4. Step 4: Simplify right side
    1,744.42x = 3,953,397.77
  5. Step 5: Solve for x
    x = 3,953,397.77/1,744.42
  6. Step 6: Final answer
    x = 2,266.31

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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.