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Finding the Fourth Proportional to 2,373.22, 3,559.38 and 729.31

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Solution

The fourth proportional to 2,373.22, 3,559.38 and 729.31 is: 1,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.22 : 3,559.38 = 729.31 : x
  2. Step 2: Convert to fraction form
    2,373.22/3,559.38 = 729.31/x
  3. Step 3: Cross multiply
    2,373.22x = 3,559.38 × 729.31
  4. Step 4: Simplify right side
    2,373.22x = 2,595,891.43
  5. Step 5: Solve for x
    x = 2,595,891.43/2,373.22
  6. Step 6: Final answer
    x = 1,093.83

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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.