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Finding the Fourth Proportional to 1,839.42, 2,760.54 and 744.57

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Solution

The fourth proportional to 1,839.42, 2,760.54 and 744.57 is: 1,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.42 : 2,760.54 = 744.57 : x
  2. Step 2: Convert to fraction form
    1,839.42/2,760.54 = 744.57/x
  3. Step 3: Cross multiply
    1,839.42x = 2,760.54 × 744.57
  4. Step 4: Simplify right side
    1,839.42x = 2,055,415.27
  5. Step 5: Solve for x
    x = 2,055,415.27/1,839.42
  6. Step 6: Final answer
    x = 1,117.43

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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.