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Finding the Fourth Proportional to 2,811.80, 4,214.42 and 2,116.23

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Solution

The fourth proportional to 2,811.80, 4,214.42 and 2,116.23 is: 3,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.80 : 4,214.42 = 2,116.23 : x
  2. Step 2: Convert to fraction form
    2,811.80/4,214.42 = 2,116.23/x
  3. Step 3: Cross multiply
    2,811.80x = 4,214.42 × 2,116.23
  4. Step 4: Simplify right side
    2,811.80x = 8,918,682.04
  5. Step 5: Solve for x
    x = 8,918,682.04/2,811.80
  6. Step 6: Final answer
    x = 3,171.88

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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.