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Finding the Fourth Proportional to 2,161.91, 3,245.60 and 993.08

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Solution

The fourth proportional to 2,161.91, 3,245.60 and 993.08 is: 1,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.91 : 3,245.60 = 993.08 : x
  2. Step 2: Convert to fraction form
    2,161.91/3,245.60 = 993.08/x
  3. Step 3: Cross multiply
    2,161.91x = 3,245.60 × 993.08
  4. Step 4: Simplify right side
    2,161.91x = 3,223,151.04
  5. Step 5: Solve for x
    x = 3,223,151.04/2,161.91
  6. Step 6: Final answer
    x = 1,490.88

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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.