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Finding the Fourth Proportional to 2,233.89, 3,351.23 and 772.71

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Solution

The fourth proportional to 2,233.89, 3,351.23 and 772.71 is: 1,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.89 : 3,351.23 = 772.71 : x
  2. Step 2: Convert to fraction form
    2,233.89/3,351.23 = 772.71/x
  3. Step 3: Cross multiply
    2,233.89x = 3,351.23 × 772.71
  4. Step 4: Simplify right side
    2,233.89x = 2,589,525.07
  5. Step 5: Solve for x
    x = 2,589,525.07/2,233.89
  6. Step 6: Final answer
    x = 1,159.20

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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.