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Finding the Fourth Proportional to 2,241.78, 3,092.36 and 1,455.82

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Solution

The fourth proportional to 2,241.78, 3,092.36 and 1,455.82 is: 2,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.78 : 3,092.36 = 1,455.82 : x
  2. Step 2: Convert to fraction form
    2,241.78/3,092.36 = 1,455.82/x
  3. Step 3: Cross multiply
    2,241.78x = 3,092.36 × 1,455.82
  4. Step 4: Simplify right side
    2,241.78x = 4,501,919.54
  5. Step 5: Solve for x
    x = 4,501,919.54/2,241.78
  6. Step 6: Final answer
    x = 2,008.19

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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.