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Finding the Fourth Proportional to 1,847.29, 2,772.15 and 982.21

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Solution

The fourth proportional to 1,847.29, 2,772.15 and 982.21 is: 1,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.29 : 2,772.15 = 982.21 : x
  2. Step 2: Convert to fraction form
    1,847.29/2,772.15 = 982.21/x
  3. Step 3: Cross multiply
    1,847.29x = 2,772.15 × 982.21
  4. Step 4: Simplify right side
    1,847.29x = 2,722,833.45
  5. Step 5: Solve for x
    x = 2,722,833.45/1,847.29
  6. Step 6: Final answer
    x = 1,473.96

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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.