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Finding the Fourth Proportional to 2,466.78, 3,396.48 and 2,092.56

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Solution

The fourth proportional to 2,466.78, 3,396.48 and 2,092.56 is: 2,881.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.78 : 3,396.48 = 2,092.56 : x
  2. Step 2: Convert to fraction form
    2,466.78/3,396.48 = 2,092.56/x
  3. Step 3: Cross multiply
    2,466.78x = 3,396.48 × 2,092.56
  4. Step 4: Simplify right side
    2,466.78x = 7,107,338.19
  5. Step 5: Solve for x
    x = 7,107,338.19/2,466.78
  6. Step 6: Final answer
    x = 2,881.22

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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.