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Finding the Fourth Proportional to 1,611.51, 2,224.07 and 982.41

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Solution

The fourth proportional to 1,611.51, 2,224.07 and 982.41 is: 1,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.51 : 2,224.07 = 982.41 : x
  2. Step 2: Convert to fraction form
    1,611.51/2,224.07 = 982.41/x
  3. Step 3: Cross multiply
    1,611.51x = 2,224.07 × 982.41
  4. Step 4: Simplify right side
    1,611.51x = 2,184,937.49
  5. Step 5: Solve for x
    x = 2,184,937.49/1,611.51
  6. Step 6: Final answer
    x = 1,355.83

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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.