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Finding the Fourth Proportional to 4,226.80, 6,342.48 and 1,763.32

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Solution

The fourth proportional to 4,226.80, 6,342.48 and 1,763.32 is: 2,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.80 : 6,342.48 = 1,763.32 : x
  2. Step 2: Convert to fraction form
    4,226.80/6,342.48 = 1,763.32/x
  3. Step 3: Cross multiply
    4,226.80x = 6,342.48 × 1,763.32
  4. Step 4: Simplify right side
    4,226.80x = 11,183,821.83
  5. Step 5: Solve for x
    x = 11,183,821.83/4,226.80
  6. Step 6: Final answer
    x = 2,645.93

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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.