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Finding the Fourth Proportional to 2,201.90, 3,304.72 and 1,162.65

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Solution

The fourth proportional to 2,201.90, 3,304.72 and 1,162.65 is: 1,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.90 : 3,304.72 = 1,162.65 : x
  2. Step 2: Convert to fraction form
    2,201.90/3,304.72 = 1,162.65/x
  3. Step 3: Cross multiply
    2,201.90x = 3,304.72 × 1,162.65
  4. Step 4: Simplify right side
    2,201.90x = 3,842,246.55
  5. Step 5: Solve for x
    x = 3,842,246.55/2,201.90
  6. Step 6: Final answer
    x = 1,744.97

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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.