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Finding the Fourth Proportional to 1,402.22, 1,933.56 and 982.44

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Solution

The fourth proportional to 1,402.22, 1,933.56 and 982.44 is: 1,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.22 : 1,933.56 = 982.44 : x
  2. Step 2: Convert to fraction form
    1,402.22/1,933.56 = 982.44/x
  3. Step 3: Cross multiply
    1,402.22x = 1,933.56 × 982.44
  4. Step 4: Simplify right side
    1,402.22x = 1,899,608.02
  5. Step 5: Solve for x
    x = 1,899,608.02/1,402.22
  6. Step 6: Final answer
    x = 1,354.71

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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.