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Finding the Fourth Proportional to 1,611.31, 2,223.96 and 982.05

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Solution

The fourth proportional to 1,611.31, 2,223.96 and 982.05 is: 1,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.31 : 2,223.96 = 982.05 : x
  2. Step 2: Convert to fraction form
    1,611.31/2,223.96 = 982.05/x
  3. Step 3: Cross multiply
    1,611.31x = 2,223.96 × 982.05
  4. Step 4: Simplify right side
    1,611.31x = 2,184,039.92
  5. Step 5: Solve for x
    x = 2,184,039.92/1,611.31
  6. Step 6: Final answer
    x = 1,355.44

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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.