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Finding the Fourth Proportional to 1,836.75, 2,755.29 and 726.11

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Solution

The fourth proportional to 1,836.75, 2,755.29 and 726.11 is: 1,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.75 : 2,755.29 = 726.11 : x
  2. Step 2: Convert to fraction form
    1,836.75/2,755.29 = 726.11/x
  3. Step 3: Cross multiply
    1,836.75x = 2,755.29 × 726.11
  4. Step 4: Simplify right side
    1,836.75x = 2,000,632.57
  5. Step 5: Solve for x
    x = 2,000,632.57/1,836.75
  6. Step 6: Final answer
    x = 1,089.22

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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.