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Finding the Fourth Proportional to 2,811.70, 4,214.13 and 1,990.21

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Solution

The fourth proportional to 2,811.70, 4,214.13 and 1,990.21 is: 2,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.70 : 4,214.13 = 1,990.21 : x
  2. Step 2: Convert to fraction form
    2,811.70/4,214.13 = 1,990.21/x
  3. Step 3: Cross multiply
    2,811.70x = 4,214.13 × 1,990.21
  4. Step 4: Simplify right side
    2,811.70x = 8,387,003.67
  5. Step 5: Solve for x
    x = 8,387,003.67/2,811.70
  6. Step 6: Final answer
    x = 2,982.89

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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.