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Finding the Fourth Proportional to 2,118, 3,162.12 and 1,809.96

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Solution

The fourth proportional to 2,118, 3,162.12 and 1,809.96 is: 2,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118 : 3,162.12 = 1,809.96 : x
  2. Step 2: Convert to fraction form
    2,118/3,162.12 = 1,809.96/x
  3. Step 3: Cross multiply
    2,118x = 3,162.12 × 1,809.96
  4. Step 4: Simplify right side
    2,118x = 5,723,310.72
  5. Step 5: Solve for x
    x = 5,723,310.72/2,118
  6. Step 6: Final answer
    x = 2,702.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.