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Finding the Fourth Proportional to 2,233.74, 3,352.23 and 1,261.74

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Solution

The fourth proportional to 2,233.74, 3,352.23 and 1,261.74 is: 1,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.74 : 3,352.23 = 1,261.74 : x
  2. Step 2: Convert to fraction form
    2,233.74/3,352.23 = 1,261.74/x
  3. Step 3: Cross multiply
    2,233.74x = 3,352.23 × 1,261.74
  4. Step 4: Simplify right side
    2,233.74x = 4,229,642.68
  5. Step 5: Solve for x
    x = 4,229,642.68/2,233.74
  6. Step 6: Final answer
    x = 1,893.53

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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.