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Finding the Fourth Proportional to 2,352.23, 3,245.92 and 1,304.29

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Solution

The fourth proportional to 2,352.23, 3,245.92 and 1,304.29 is: 1,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.23 : 3,245.92 = 1,304.29 : x
  2. Step 2: Convert to fraction form
    2,352.23/3,245.92 = 1,304.29/x
  3. Step 3: Cross multiply
    2,352.23x = 3,245.92 × 1,304.29
  4. Step 4: Simplify right side
    2,352.23x = 4,233,604.77
  5. Step 5: Solve for x
    x = 4,233,604.77/2,352.23
  6. Step 6: Final answer
    x = 1,799.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.