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Finding the Fourth Proportional to 3,123.97, 4,684.58 and 1,662.78

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Solution

The fourth proportional to 3,123.97, 4,684.58 and 1,662.78 is: 2,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.97 : 4,684.58 = 1,662.78 : x
  2. Step 2: Convert to fraction form
    3,123.97/4,684.58 = 1,662.78/x
  3. Step 3: Cross multiply
    3,123.97x = 4,684.58 × 1,662.78
  4. Step 4: Simplify right side
    3,123.97x = 7,789,425.93
  5. Step 5: Solve for x
    x = 7,789,425.93/3,123.97
  6. Step 6: Final answer
    x = 2,493.44

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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.