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Finding the Fourth Proportional to 2,161.85, 2,979.96 and 1,808.96

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Solution

The fourth proportional to 2,161.85, 2,979.96 and 1,808.96 is: 2,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.85 : 2,979.96 = 1,808.96 : x
  2. Step 2: Convert to fraction form
    2,161.85/2,979.96 = 1,808.96/x
  3. Step 3: Cross multiply
    2,161.85x = 2,979.96 × 1,808.96
  4. Step 4: Simplify right side
    2,161.85x = 5,390,613.54
  5. Step 5: Solve for x
    x = 5,390,613.54/2,161.85
  6. Step 6: Final answer
    x = 2,493.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.