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Finding the Fourth Proportional to 2,781.72, 4,172.22 and 1,394.82

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Solution

The fourth proportional to 2,781.72, 4,172.22 and 1,394.82 is: 2,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.72 : 4,172.22 = 1,394.82 : x
  2. Step 2: Convert to fraction form
    2,781.72/4,172.22 = 1,394.82/x
  3. Step 3: Cross multiply
    2,781.72x = 4,172.22 × 1,394.82
  4. Step 4: Simplify right side
    2,781.72x = 5,819,495.90
  5. Step 5: Solve for x
    x = 5,819,495.90/2,781.72
  6. Step 6: Final answer
    x = 2,092.05

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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.