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Finding the Fourth Proportional to 2,235.18, 3,352.84 and 829.96

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Solution

The fourth proportional to 2,235.18, 3,352.84 and 829.96 is: 1,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.18 : 3,352.84 = 829.96 : x
  2. Step 2: Convert to fraction form
    2,235.18/3,352.84 = 829.96/x
  3. Step 3: Cross multiply
    2,235.18x = 3,352.84 × 829.96
  4. Step 4: Simplify right side
    2,235.18x = 2,782,736.16
  5. Step 5: Solve for x
    x = 2,782,736.16/2,235.18
  6. Step 6: Final answer
    x = 1,244.97

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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.