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Finding the Fourth Proportional to 1,662.73, 2,474.46 and 1,607.36

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Solution

The fourth proportional to 1,662.73, 2,474.46 and 1,607.36 is: 2,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.73 : 2,474.46 = 1,607.36 : x
  2. Step 2: Convert to fraction form
    1,662.73/2,474.46 = 1,607.36/x
  3. Step 3: Cross multiply
    1,662.73x = 2,474.46 × 1,607.36
  4. Step 4: Simplify right side
    1,662.73x = 3,977,348.03
  5. Step 5: Solve for x
    x = 3,977,348.03/1,662.73
  6. Step 6: Final answer
    x = 2,392.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.