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Finding the Fourth Proportional to 2,494.42, 3,442.49 and 1,446.64

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Solution

The fourth proportional to 2,494.42, 3,442.49 and 1,446.64 is: 1,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.42 : 3,442.49 = 1,446.64 : x
  2. Step 2: Convert to fraction form
    2,494.42/3,442.49 = 1,446.64/x
  3. Step 3: Cross multiply
    2,494.42x = 3,442.49 × 1,446.64
  4. Step 4: Simplify right side
    2,494.42x = 4,980,043.73
  5. Step 5: Solve for x
    x = 4,980,043.73/2,494.42
  6. Step 6: Final answer
    x = 1,996.47

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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.